{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "from sklearn.metrics import r2_score\n",
    "from keras.models import Sequential\n",
    "from keras.layers import Dense\n",
    "from keras.callbacks import EarlyStopping\n",
    "from keras.optimizers import Adam\n",
    "from keras.layers import LSTM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\"vix_2011_2019.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "         Date       Open       High    Low      Close  Adj Close  Volume\n",
      "0  2011-02-11  16.530001  16.530001  15.55  15.690000  15.690000       0\n",
      "1  2011-02-14  16.070000  16.260000  15.22  15.950000  15.950000       0\n",
      "2  2011-02-15  16.299999  16.750000  16.27  16.370001  16.370001       0\n",
      "3  2011-02-16  16.309999  16.740000  15.84  16.719999  16.719999       0\n",
      "4  2011-02-17  17.010000  17.299999  15.88  16.590000  16.590000       0\n"
     ]
    }
   ],
   "source": [
    "print(df.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [],
   "source": [
    "df.drop(['Open', 'High', 'Low', 'Close', 'Volume'], axis=1, inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 2011 entries, 0 to 2010\n",
      "Data columns (total 2 columns):\n",
      "Date         2011 non-null object\n",
      "Adj Close    2011 non-null float64\n",
      "dtypes: float64(1), object(1)\n",
      "memory usage: 31.5+ KB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [],
   "source": [
    "df['Date'] = pd.to_datetime(df['Date'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = df.set_index(['Date'], drop=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Adj Close</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2011-02-11</th>\n",
       "      <td>15.690000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-02-14</th>\n",
       "      <td>15.950000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-02-15</th>\n",
       "      <td>16.370001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-02-16</th>\n",
       "      <td>16.719999</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-02-17</th>\n",
       "      <td>16.590000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-02-18</th>\n",
       "      <td>16.430000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-02-22</th>\n",
       "      <td>20.799999</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-02-23</th>\n",
       "      <td>22.129999</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-02-24</th>\n",
       "      <td>21.320000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-02-25</th>\n",
       "      <td>19.219999</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            Adj Close\n",
       "Date                 \n",
       "2011-02-11  15.690000\n",
       "2011-02-14  15.950000\n",
       "2011-02-15  16.370001\n",
       "2011-02-16  16.719999\n",
       "2011-02-17  16.590000\n",
       "2011-02-18  16.430000\n",
       "2011-02-22  20.799999\n",
       "2011-02-23  22.129999\n",
       "2011-02-24  21.320000\n",
       "2011-02-25  19.219999"
      ]
     },
     "execution_count": 114,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# df = df.sort_index()\n",
    "plt.figure(figsize=(10, 6))\n",
    "df['Adj Close'].plot();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [],
   "source": [
    "split_date = pd.Timestamp('2018-01-01')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df =  df['Adj Close']\n",
    "train = df.loc[:split_date]\n",
    "test = df.loc[split_date:]\n",
    "plt.figure(figsize=(10, 6))\n",
    "ax = train.plot()\n",
    "test.plot(ax=ax)\n",
    "plt.legend(['train', 'test']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\SusanLi\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\sklearn\\preprocessing\\data.py:321: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and will raise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
      "  warnings.warn(DEPRECATION_MSG_1D, DeprecationWarning)\n",
      "C:\\Users\\SusanLi\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\sklearn\\preprocessing\\data.py:356: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and will raise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
      "  warnings.warn(DEPRECATION_MSG_1D, DeprecationWarning)\n",
      "C:\\Users\\SusanLi\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\sklearn\\preprocessing\\data.py:356: DeprecationWarning: Passing 1d arrays as data is deprecated in 0.17 and will raise ValueError in 0.19. Reshape your data either using X.reshape(-1, 1) if your data has a single feature or X.reshape(1, -1) if it contains a single sample.\n",
      "  warnings.warn(DEPRECATION_MSG_1D, DeprecationWarning)\n"
     ]
    }
   ],
   "source": [
    "# scale train and test data to [-1, 1]\n",
    "scaler = MinMaxScaler(feature_range=(-1, 1))\n",
    "train_sc = scaler.fit_transform(train)\n",
    "test_sc = scaler.transform(test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_train = train_sc[:-1]\n",
    "y_train = train_sc[1:]\n",
    "\n",
    "X_test = test_sc[:-1]\n",
    "y_test = test_sc[1:]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## NN"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/100\n",
      "1732/1732 [==============================] - 7s 4ms/step - loss: 0.0112\n",
      "Epoch 2/100\n",
      "1732/1732 [==============================] - 8s 5ms/step - loss: 0.0063\n",
      "Epoch 3/100\n",
      "1732/1732 [==============================] - 8s 5ms/step - loss: 0.0063A: 0s - loss: 0.006\n",
      "Epoch 4/100\n",
      "1732/1732 [==============================] - 11s 7ms/step - loss: 0.0063\n",
      "Epoch 5/100\n",
      "1732/1732 [==============================] - 8s 5ms/step - loss: 0.0062\n",
      "Epoch 6/100\n",
      "1732/1732 [==============================] - 8s 4ms/step - loss: 0.0062\n",
      "Epoch 7/100\n",
      "1732/1732 [==============================] - 9s 5ms/step - loss: 0.0061\n",
      "Epoch 8/100\n",
      "1732/1732 [==============================] - 8s 5ms/step - loss: 0.0061\n",
      "Epoch 9/100\n",
      "1732/1732 [==============================] - 9s 5ms/step - loss: 0.0061\n",
      "Epoch 10/100\n",
      "1732/1732 [==============================] - 8s 5ms/step - loss: 0.0061\n",
      "Epoch 11/100\n",
      "1732/1732 [==============================] - 9s 5ms/step - loss: 0.0061\n",
      "Epoch 12/100\n",
      "1732/1732 [==============================] - 8s 5ms/step - loss: 0.0061\n",
      "Epoch 13/100\n",
      "1732/1732 [==============================] - 9s 5ms/step - loss: 0.0061\n",
      "Epoch 14/100\n",
      "1732/1732 [==============================] - 8s 5ms/step - loss: 0.0061\n",
      "Epoch 15/100\n",
      "1732/1732 [==============================] - 9s 5ms/step - loss: 0.0061\n",
      "Epoch 16/100\n",
      "1732/1732 [==============================] - 8s 5ms/step - loss: 0.0061\n",
      "Epoch 17/100\n",
      "1732/1732 [==============================] - 9s 5ms/step - loss: 0.0061\n",
      "Epoch 18/100\n",
      "1732/1732 [==============================] - 8s 5ms/step - loss: 0.0061\n",
      "Epoch 19/100\n",
      "1732/1732 [==============================] - 8s 5ms/step - loss: 0.0061\n",
      "Epoch 00019: early stopping\n"
     ]
    }
   ],
   "source": [
    "nn_model = Sequential()\n",
    "nn_model.add(Dense(12, input_dim=1, activation='relu'))\n",
    "nn_model.add(Dense(1))\n",
    "nn_model.compile(loss='mean_squared_error', optimizer='adam')\n",
    "early_stop = EarlyStopping(monitor='loss', patience=2, verbose=1)\n",
    "history = nn_model.fit(X_train, y_train, epochs=100, batch_size=1, verbose=1, callbacks=[early_stop], shuffle=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The R2 score on the Train set is:\t0.897\n",
      "The R2 score on the Test set is:\t0.789\n"
     ]
    }
   ],
   "source": [
    "y_pred_test_nn = nn_model.predict(X_test)\n",
    "y_train_pred_nn = nn_model.predict(X_train)\n",
    "print(\"The R2 score on the Train set is:\\t{:0.3f}\".format(r2_score(y_train, y_train_pred_nn)))\n",
    "print(\"The R2 score on the Test set is:\\t{:0.3f}\".format(r2_score(y_test, y_pred_test_nn)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## LSTM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_sc_df = pd.DataFrame(train_sc, columns=['Y'], index=train.index)\n",
    "test_sc_df = pd.DataFrame(test_sc, columns=['Y'], index=test.index)\n",
    "\n",
    "for s in range(1,2):\n",
    "    train_sc_df['X_{}'.format(s)] = train_sc_df['Y'].shift(s)\n",
    "    test_sc_df['X_{}'.format(s)] = test_sc_df['Y'].shift(s)\n",
    "\n",
    "X_train = train_sc_df.dropna().drop('Y', axis=1)\n",
    "y_train = train_sc_df.dropna().drop('X_1', axis=1)\n",
    "\n",
    "X_test = test_sc_df.dropna().drop('Y', axis=1)\n",
    "y_test = test_sc_df.dropna().drop('X_1', axis=1)\n",
    "\n",
    "X_train = X_train.as_matrix()\n",
    "y_train = y_train.as_matrix()\n",
    "\n",
    "X_test = X_test.as_matrix()\n",
    "y_test = y_test.as_matrix()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train shape:  (1732, 1, 1)\n",
      "Test shape:  (277, 1, 1)\n"
     ]
    }
   ],
   "source": [
    "X_train_lmse = X_train.reshape(X_train.shape[0], X_train.shape[1], 1)\n",
    "X_test_lmse = X_test.reshape(X_test.shape[0], X_test.shape[1], 1)\n",
    "\n",
    "print('Train shape: ', X_train_lmse.shape)\n",
    "print('Test shape: ', X_test_lmse.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch 1/100\n",
      "1732/1732 [==============================] - 54s 31ms/step - loss: 0.0220\n",
      "Epoch 2/100\n",
      "1732/1732 [==============================] - 53s 31ms/step - loss: 0.0090\n",
      "Epoch 3/100\n",
      "1732/1732 [==============================] - 52s 30ms/step - loss: 0.0063\n",
      "Epoch 4/100\n",
      "1732/1732 [==============================] - 50s 29ms/step - loss: 0.0060 0s - l\n",
      "Epoch 5/100\n",
      "1732/1732 [==============================] - 51s 29ms/step - loss: 0.0060\n",
      "Epoch 6/100\n",
      "1732/1732 [==============================] - 50s 29ms/step - loss: 0.0060\n",
      "Epoch 7/100\n",
      "1732/1732 [==============================] - 50s 29ms/step - loss: 0.0060\n",
      "Epoch 8/100\n",
      "1732/1732 [==============================] - 50s 29ms/step - loss: 0.0060\n",
      "Epoch 9/100\n",
      "1732/1732 [==============================] - 50s 29ms/step - loss: 0.0060\n",
      "Epoch 10/100\n",
      "1732/1732 [==============================] - 48s 28ms/step - loss: 0.0060\n",
      "Epoch 00010: early stopping\n"
     ]
    }
   ],
   "source": [
    "lstm_model = Sequential()\n",
    "lstm_model.add(LSTM(7, input_shape=(1, X_train_lmse.shape[1]), activation='relu', kernel_initializer='lecun_uniform', return_sequences=False))\n",
    "lstm_model.add(Dense(1))\n",
    "lstm_model.compile(loss='mean_squared_error', optimizer='adam')\n",
    "early_stop = EarlyStopping(monitor='loss', patience=2, verbose=1)\n",
    "history_lstm_model = lstm_model.fit(X_train_lmse, y_train, epochs=100, batch_size=1, verbose=1, shuffle=False, callbacks=[early_stop])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The R2 score on the Train set is:\t0.914\n",
      "The R2 score on the Test set is:\t0.806\n"
     ]
    }
   ],
   "source": [
    "y_pred_test_lstm = lstm_model.predict(X_test_lmse)\n",
    "y_train_pred_lstm = lstm_model.predict(X_train_lmse)\n",
    "print(\"The R2 score on the Train set is:\\t{:0.3f}\".format(r2_score(y_train, y_train_pred_lstm)))\n",
    "print(\"The R2 score on the Test set is:\\t{:0.3f}\".format(r2_score(y_test, y_pred_test_lstm)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "277/277 [==============================] - 0s 790us/step\n",
      "277/277 [==============================] - 0s 2ms/step\n",
      "NN: 0.013070\n",
      "LSTM: 0.012428\n"
     ]
    }
   ],
   "source": [
    "nn_test_mse = nn_model.evaluate(X_test, y_test, batch_size=1)\n",
    "lstm_test_mse = lstm_model.evaluate(X_test_lmse, y_test, batch_size=1)\n",
    "print('NN: %f'%nn_test_mse)\n",
    "print('LSTM: %f'%lstm_test_mse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [],
   "source": [
    "nn_y_pred_test = nn_model.predict(X_test)\n",
    "lstm_y_pred_test = lstm_model.predict(X_test_lmse)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4Abi89gJV/YGqZvybtwE71niN65LrKrGwU93TVpNpy1l51BhjTAvyJZdYxCuPJjSPFjPL/5BZFZ0M2rYDh2puH/bvW8wbgG+1dUVdIiiPztvTVrSRH8YYY1qXL7lepi3skJA8Wpjr9JI2jHAHX1vq3Kd1LxR5NbAHePYij18JXAmwa9eu1VrfuuUqxMOhupk2G/lhjDGmFYWSS18iQizskCQPeQva1konM22HgZ01t3cARxZeJCKXAe8GXqyq+XpPpKqfVtU9qrpnZGSkLYtdT05qRCjlK0FbvuTiunVjY2OMMWZZtZm2pOTRogVta6WTQdtPgXNE5AwRiQK/A9xYe4GIPA34W7yAbbQDa1yXVCEWri2PZiuNCAA5G4ZojDGmSYVSmVjEISkFAMTKo2umY0GbqpaAtwA3Aw8CX1bV+0XkAyLyYv+yPwd6gH8WkbtF5MZFns7UKKt63aOVkR+5eVOrbVabMcaYZuVLLrGQl2UDkGKmeui1aatO7mlDVW8Cblpw3/tqvr9szRfVBVxV4pGa7tFSdt4ARGtGMMYY06yC3z2axDvbWlDvnOtIosMr6352IkKXUVVUIR4JVcujxdy8o0bsKCtjjDHNCva0xSlU77QS6ZqwoK3LBBnqWNjxPv2At6etXA3UrIPUGGNMs7xMmzejrXqnBW1rwYK2LlP2o7ZYePFMm+1pM8YY06zKiQh+eRQAG7C7Jixo6zJuJWir3dOWsz1txhhjWlYqu/5RiQ4xrQnaLNO2Jixo6zJBeTQeCeFIUB6d3z1qe9qMMcY0I0gARMMOMdeCtrVmQVuXqc20hRaciCD+GRSWaTPGGNOMYOZnLOwQtT1ta86Cti5T9k87iC4ojxZKLn3xCADZgrvYjxtjjDGLqmbaQkTcbPUB29O2Jixo6zLBCVUhR07KtA0k/aDNMm3GGGOaUJtpC5dqgjbLtK0JC9q6jPrl0ZAjNWePenvaBhJe0DZy7IdQKiz2FMYYY0xdwf7oaNiZn2mzoG1NWNDWZYJMmyNCSGoybUWXVCzMbmeUF9/3Vnjom51bpDHGmHUpX5NpC5WzFDXkPWCHxq8JC9q6TLCnzREIzcu0ucTCDiMRv9snO9GhFRpjjFmvartHnWKWGZKUJWSZtjXS0bNHzeoLyqMigixoRIiFQ4TCJSgD+ZnOLdIYY8y6VN3TFoJihixxEg4kCtaIsBYs09Zl6jcieHvaYhGH/nDRuy8/25kFGmOMWbdq97RRmCMnMQpO3Mqja8QybV0mmNPmCDWNCNlKeTQZKnn3WabNGGPMCtV2j1LMkJc4eXGsPLpGLGjrMm5NedSZl2nzyqM9IT/TVrBMmzHGmJXJzwvasjVBm5VH14IFbV3G9eM0pzZoK+XIF8tEww69jj/qI5/uzAKNMcasW/P2tBXmKDhxciKWaVsjtqetywSZtpBotTxazFIoe+XRlGN72owxxjSntnuUYgaJJhkrRFDb07YmLGjrMtU9bd7XMg64RcrlMrFwqCZosz1txhhjVqbgNyLEwl5JdMvwEBPFMNk5+52yFixo6zKV4bp+li0nCQDiFIhFHJISlEftH5gxxpiVWZhp2755E8VQkvycbblZCxa0dZlKedTfz5YlBkCMAtGQQzLY02aNCMYYY1YoUygjUu0eDceSnLZpCIoZpjPFTi+v61nQ1mVOCtoqmbYisYhDHMu0GWOMac7oTJ7hVIywKJRyEE1x5rbNJMlx438/0enldT0L2rpMpXvUL4/OuVEA4lIgFg6RIA+A5mfAD/CMMcaYRoymc2zujUHRH/ERSTIyPExMSjx0ZLKzi9sALGjrMgszbTOuVx6NUyAWdoj5mTZBrUXbGGPMihyfybGlL1adyxZNQiQJwOTUVAdXtjFY0NZlKt2jQaZNFwRtmq9ebPvajDHGrMDxdJ4tffGaTFsKoikApqctaGs3C9q6TOXsUfEybXN+I0JcCkTDDtHaoM32tRljjGlQqewyNptn87ygLVEJ2mZnpju4uo3BgrYus7A8mtE44HWPxsIhIm5t0GYt2sYYYxozNltAlQXl0VSlPFrKzZIrlju4wu5nQVuX0QXl0Uxl5IfXPRpx88yo11FqpyIYY4xp1OhMDoDNvXEITkCIJCuZtiR5jqdznVrehmBBW5cpV7pHgzltXqYt2NMWdnOMaZ93kZVHjTHGNOh42qvUbOmLQTHr3RmtCdokz9FpC9rayYK2LlMtj/qZtqARQYrEwg6hcpYTDHgXWyOCMcaYBgVZtC198er0gXmZthzHLGhrKwvaukz17NFguG5tpi1EqJxnTPu9iy3TZowxpkGj6RyOwHAqOm9OW7CnLUmeY1YebatwpxdgVpcuOHuUaArcannUKWUtaDPGGLNix9N5NvXECIec+Y0IbgmAoUjBMm1tZpm2LlN2g0YEr4PHiXlp6zgFYiEHKWWZJoUrYQvajDHGNGx0JsfmPm/LTb1GhM3xsgVtbdbRoE1Eni8ie0Vkv4hcVefxmIh8yX/8dhHZvfarXF8WDteNx2LkNewdY+UUEZSsxiiEUranzRhjTMOOp/Ns6fW23FDMgjgQjkHYm0iwKVbiqJVH26pjQZuIhIBrgRcA5wGvFJHzFlz2BmBSVc8GPg58ZG1Xuf4E5dGgESEVi5InSpwCUdc7wionUfKhpGXajDHGNMzLtPlBWyHjZdlEwHFg6Ez2FO7k2FSms4vscp3MtD0D2K+qj6pqAbgBuHzBNZcD1/vffwW4VERkDde47lQzbV55NBmPkCNKQko4Za9F2w0lyDkWtBljjGlMsewyNlvwxn2AVx71GxAAeNbb2Zl7iKdk/otSMHvKrLpOBm3bgUM1tw/799W9RlVLwDQwvCarW6fcBY0IyViUnEZIOsXKXB03HCcrCQvajDHGNOTETDCjzc+05Wcre9kAeOrvMJPcydtC/8KJGSuRtksng7Z6GTNt4hpE5EoRuUNE7jhx4sSqLG69ChoRxM+0pRIxckRJSb4StEkkwRyWaTPGGNOYYEbb5l4/0zZ9CPp3VC8IRTj0lDdzgXOAuQdu7sAKN4ZOBm2HgZ01t3cARxa7RkTCQD8wsfCJVPXTqrpHVfeMjIy0abnrgy4YrtsTizJJL4MyWxO0JZkjbo0IxhhjGhJk2jYHjQiTB2Hw9PkXnfcSAMpP3L2WS9tQOhm0/RQ4R0TOEJEo8DvAjQuuuRF4rf/9y4DvaxCVmLoWlkd7EjHGtI8hpivDECWa8M4ftUybMcaYBkxniwAMJCNeE8LsMRjYPe+a4cFBjukg4anHOrDCjaFjQZu/R+0twM3Ag8CXVfV+EfmAiLzYv+w6YFhE9gNvB04aC2LmW9iIkEpEGdd+BpmGkpfeDseSpN24HRhvjDGmIemcN0C3Lx6Bqce9Owd3z7umNx7moG4hOXtwjVe3cXT0RARVvQm4acF976v5Pgf89lqvaz0LgjbxM2298Rjj2ke/zlQya6FYkmk3DsUZcF2vXdsYY4xZRNrPtPXEw3DogHfngqAtEQnxuG7l/My9a7u4DcR+W3eZSqZNvZbr3kSEcfq8B6e9Zt1QLMVUOerdZ/vajDHGLCOdK9IbCxNyBKb8TNqCoE1EOBbeRk9xvHqgvFlVFrR1GdcfjxMEbYlYlEn8s0b9lHY03sNEye8AsqDNGGPMMtLZEn2JiHdj8oA3oy216aTrTkT8yV0Ttq+tHSxo6zLV8qgXtIkTphD3R9tNeZm2aDzFVCmYtWPNCMYYY5aWzhXpjfs7qiYPeFm2OrPupxL+GJCJR9dsbRuJBW1dptqI4KfcxKFv+DTvez+lHU0kmaVmQKIxxhizhHS2OD/TtqA0GphN+JO8LGhrCwvaukx15EdQJ3X48Kt/1ft+6hA4YVKJBJkgaCvavgNjjDFLS+dKXueoqj+jbXfd68LJfiZlwIK2NrGgrcvUy7TFe4fAiUApC+EEqViYOQ0O/bWgzRhjzNK8TFsY5sa8D/sDp9e9ri8R4RBbLGhrEwvaukyQaRMNgraQt+8g5Z8UEUnQEwuTIWhEsKDNGGPM0tK5opdpmzzg3bFIpq03HuYxd4s1IrSJBW1dxnUXZNqckPc16PKJeJm2jGXajDHGNMB1ldm83z26bNAWYX9pM6QPV45ONKvHgrYuU+ke1Wp5FJiXaUvFQsxZps0YY0wDZvIlVKEvHoZp/zSEgV11r+2LhzmoW70bk3YywmqzoK3LLDx7FAkybfPLo1ks02aMMWZ5wWkIfYkI5KYhFIVosu61ffEIY8FA98zYWi1xw7CgrctoZU6bd/ZoNdMWlEeTpGJhioQpS8SG6xpjjFlSOucHbfGINyYq1rvotb3xmkY3Gym16ixo6zILj7GqnCu6INMGUAwloZhZ6yUaY4xZR9JZ/7D4RNgbyB7tWfTavkSEWRLeDUsKrLpFD4wXkXshqLGdTFUvbMuKTEvKwVa2xcqj4TixsIMjUHDixK08aowxZgnzMm2FWYj1LXrt/Eybnbiz2hYN2oAX+l/f7H/9nP/1dwFLz5yiqo0IC8ujQaYtiYiQioXJOwn7JGSMMWZJwZ62/kTEC8Rii2faeuOWaWunRYM2VT0IICK/pKq/VPPQVSJyK/CBdi/OrFx1T1vQkeBn2nqq5VHAa0aQuDUiGGOMWVI655dH437Q1rN50Wv74mHm7JjEtmlkT1tKRJ4V3BCRZwKp9i3JtKLSPbrEyA+AVNBBWrCkqTHGmMUFmbae+PJ72nrjERSHglVy2mKp8mjgDcA/iEg/3h63aeD1bV2VaVrZXVge9TNtSb97NOx9AkrFwswV4vaPyhhjzJLSuSK9sTAhR/w9bYt3j0bDDrGwQyGUJGp72lbdskGbqt4JPFVE+gBR1en2L8s0S1URqVMejcTh1z4EZ3mHx/fEQsylY1A40aGVGmOMWQ/SWf80BPD3tC0etIHXQZqTBD2WFFh1y5ZHRWSLiFwHfElVp0XkPBF5wxqszTTBVXBEwA0ybVJ98Jl/BFvOByAVDTPrxmxPmzHGmCWlc0V642Hv90oxs2zQ1hsPk5GE7Wlrg0b2tH0WuBnY5t9+GHhbuxZkWuOq4ghQe2B8HT2xMGkL2owxxiwjnS16mbag3Lls0BZhDtvT1g6NBG2bVPXL4J1ArqolCMbtm1NNWRURgYUjPxZIxcJMl6NQnANddByfMcaYDS6dK1VntMGSjQjgdZDOatzmtLVBI0HbnIgM4w/aFZFL8JoRzClIFS/TFpRHnfqZNi9oi3gZuVJu7RZojDFmXfEybeGGM2198Qhp1xrd2qGR7tG3AzcCZ/nz2UaAl7V1VaZprquERBooj4YYdWMQwiuR+qNAjDHGmFrpXLF67ig0tKdt2o3ZnrY2aKR79Gci8mzgXECAvapabPvKTFMqjQgL57QtkIqFyQQDEAuz1QPljTHGGJ/rKrN5v3s0n/bubKB7dKoUtUxbGyx19uhvLfLQk0QEVf1qm9ZkWuD6Iz8qQdsS5dHK+XA2YNcYY0wdM/kSqt4+tUp5dJk9bb2xMNPluNdp6pYX/T1kVm6pTNuLlnhMAQvaTkGuKo6zyMiPGr3zMm3WQWqMMWa+D37zAR444mXX+hI1jQgNlEcP1VZy4v3tXOaGstTZo1es5ULM6nC1Zk/bIvvZAC7Y3k9GY94NS2EbY4ypMT6b57r/fIwdgwmesXuIp+8egv0NNiIk/JEfAPlZJsoJpjIFzhxZOkNnltdIIwIi8hvA+RCEzqCqdmD8KchVqiM/lkhJ7xxK0t8/ADks02aMMWaefaPeh/kP/+ZTePaT/LOr729s5EdvPFKz/WaWj31/gh8/Ms4P3vmcNq1242jkRIRPAa8A/givEeG3gdPbvC7TJA2G67rlRZsQAuefcRoApZxl2owxxlQFQduTttQEaPk0hGIQji75s4PJCLM1mbaj0znGZ/PtWuqG0sictmeq6muASVV9P/CLwM72Lss0q+xqtXt0ifIowEVn7QDg8eN2/qgxZmNTVZ738R/ylTsPd3opp4T9x2foiYXZ2hev3rnMYfGBwVS0JtM2w8RcgWzRZvKvhkaCtqz/NSMi24AicEb7lmRa4SqEnCBoW/p/3p8/xwvaDh4dXYulGWPMKStfctl7fIYfPmwfYsHLtJ29ucemHKT3AAAgAElEQVTbbhPIz0Bs+X1pw6novD1tk5kCxbJSLLttWu3G0UjQ9k0RGQD+HPgZcAC4oZ2LMs2bN/LDWfp/3r5er6Pn6InxNViZMca0z8Rcgf8+NNX0z+eLXkDx8HE7egm8oO2czQsCtHxjmba+eGTeHNCJuQIAmYJl21q1bNCmqh9U1SlV/Re8vWxPVtX3tvKiIjIkIt8RkX3+18E611wkIv8lIveLyD0i8opWXnOj0GC4bgN72nBCFJ0YM+lpCqX1/QloYq7AXL7U6WUYYzrk0z98lFf//e1N/3xQvnvkxOyGzwhNZQqcmMlzzpaFQdsMRJcP2hxHCCf6ACjn0szkvPfmrAVtLWukEeHNfqYNVc0Djoj8YYuvexXwPVU9B/ief3uhDPAaVT0feD7wl8E6zOK8PW143aPL7GkDKIWSJMmRK63vf0yv+Yfb+X/ferDTyzDGdMix6Swz+VLTAVcQtBXLyoGxjd1RHzQhnLN5QYBWmGko0wYQS3mVnOxs9ajyTME+WLeqkfLom1S1knNW1UngTS2+7uXA9f731wMvWXiBqj6sqvv8748Ao3jnnpolVIbrqtvQFOpSOElScpXSwHqkqjx8fJZj03bwvTEb1XiLJbjaLNBDx6ol0om5Aj/Yu7H2/e477gVtZ59UHm08aEumenBxyM+lK/dZebR1jQRtjtTsRBSRELB0v+/ytqjqUQD/6+alLhaRZ/iv+cgij18pIneIyB0nTmzsTaQrKo8C5XCSFHny6zjTNj5XoFBy7Q3BmA3sxIw3UqLZbE5td2PtvrZrvrOX13/2p8xuoO0X+0ZnSEZDbB9IzH8gP9tQIwLAUCpGhgSFTDVosw7S1jUyXPdm4Mv+vDYF/gD49+V+SES+C2yt89C7V7JAETkN+BzwWlWtmw5S1U8DnwbYs2ePruT5u40bzGlTbag86oa98uh63tN2dMrLsM1Z0GbMhhVk2prd25qrCSj2+pk211Vuvv84qnBoIsPPndbX+kLXgf1+56jjLDgGcQWZtsFUlFnilLKWaVtNjQRt/wu4EvifeMN1vw38/XI/pKqXLfaYiBwXkdNU9agflNXNPYtIH/BvwHtU9bYG1rrhVee0NZZpcyMpkjJGfh0HbUemvak0mQ30SdgYU+W6WulQnMu3Vh7dOZSoZNrufHyyksHbSEHb4cks521b8Hctl6CUbagRAbyxHzMaJ5qrZi2ztqetZY10j7qq+ingVcCHgK+paqvh8o3Aa/3vXwv868ILRCQKfA34R1X95xZfb8OoHGPllpcd+QGgkSQpcus6aDs65Qdt9inOmA1pOluk7HpFlrkWy6NP3THAwYkMmUKJb917zJt7CRyazC71410lnS3Sn4jMv7PQ2LmjgWDAbtEybatq0d/qIvIpETnf/74fuBv4R+AuEXlli6/7Z8BzRWQf8Fz/NiKyR0SCLN7Lgf8BvE5E7vb/XNTi63Y9VSXk0NCJCAAa7SFJjvw63mtwxG9AsM4kYzam8bnqEUmZZjNt/nvgRTsHUIU7D05y8/3HeM6TRkhFQxyayKzKWk91qspMrkRffEHQlvePO2x4T1uEWY2j+WqmzYK21i1VHv1lVf0D//srgIdV9SUishX4FvBPzb6oqo4Dl9a5/w7gjf73nwc+3+xrbFTenrbGy6NEU1736DrOtB3xM222p82YjWlstlD5vtlMW/DB9ZIzh0lFQ/zedT8B4G2XncMTU1kOT26MoC1fcimUXXrjC8KD/MoybUOpGHMkcAqjDKWi3lFW9h7dsqWCtkLN988F/hlAVY/NO9bCnFLKQXm0wZEfEk2SJL++GxH8TFuh5FIqu4RDjTRFG2O6xXht0NZipm33phTffvuz+eZ/H+GhYzO84CmncfP9xzdMpi2dKwLQd1J51M+0NbinbSgZ5WHixNwM24cSTMwVLNO2CpYK2qZE5IXAE8AvAW8AEJEwkFji50wHadA92uDID4n2kJI8+WKx/Ytrk2BPG0CmWKbPgjZjNpSx2ZryaLN72greB9d42KFnIMHvP/usymM7hxLcun8MVaXbkxbprPffry/ItKnCf/8THP6pd7vhPW0R5jRBihybeqJEww6Zom1hadVSQdvvA5/EG9vxNlU95t9/KV5HpzkFuaqEgkxbI3vaBncDEJ94ENjR3sW1QansciydYzgVZXyuQCZfPnkvhjGmq43P5hHx4otWMm3RkFM3U79rKEm2WGZ8rsCmnliryz2lzfiZtkp59Ng98PX/6X0fjsPAzoaeZygVZY44KbIMpWIkoyGy+ZI/jqq7A992WjRoU9WH8Y6PWnj/zXiz28wpyHX94boNHBgP4J7xHACGj92KVwVfX0Zn8rgKZ23uYfyxCWtGMGYDGpsrMJSMMlcoNf0ekCuWiUfqv2fuHEwC3tiPbg/a0rkg0+Z/+B31jwd80/dh8/kQiTf0PMlomJyTJCplRhJKMhLipY++B27cAZdf246lbwhWR+oyZVXvQ0yD5dHIwDYecney+cSP27+4Njjqz2gLjluxPRPGbDzjs3mGe6KkouHmR34UyiSi9asTO4f8oG0DjP2oZtr8oO3EXnDCsPXChgO2QDnqzXrbEsuTiIbYmn0Exvav6no3GgvauoxWukcbK4/Gwg4/cp/C5qm7oLD+Ntoe8U9DOHvEC9qWmob+/256kNf8w0/WZF3GmLUzPltgOBUjGQu1VB5NREJQzME/XwGTByqP7Rj0tnFvhGaEmSDTlvALcSf2wvDZEFr5tpNibAiALaE5ktEwyfI0FOdWba0bkQVtXcZVvGGQDY78iPpBW9gtwOPrL9sWjPuoZNqWmDe3b3SWh46mF33cGLM+jc8Vqpm2Jk9GyRbLxCMhGN8P938VHqpu3U7Fwgynohti7Ec6uzDT9hCMnNvckyW9oG2TM0MyAil3Zl0mB04ly/5WF5EtInKdiHzLv32eiLyh/UszzXBry6MNjPwIO8Id+mRKEoVHftD+Ba6yo9M5emJhtvR5afulBmvO5UtMZYuobujjaY3pOmOzeTb1BJvdC9773wrlin55tOgHFaMPzHt8x1CSQxMboTxawhFIRf2s4+RjMPLkpp5LUiMADMkMI+EsDlr972ua0kim7bN4jQfb/NsPA29r14JMa1wNGhEaOzBeRNBwkkO9F8Jj/7EGK1xdx6ZzbO2Pk/T3oiy1n2WuUKJQcskV1+9MOmPMfPlSmZlciU09UVKxMK8e/yTc8KoVP0+uUh4NgrYH5z2+YzCxMTJtuSK98Yg32mR8v7fVpslMW7h3EwB9bpqRkD/nzTJtLWkkaNukql8GXABVLQG22/sU5br+nDYtN9xWHYs4TIS3QmaivYtrg0yxTCoWJhkNIbj88q2vg73fqn+tn4WbyhbqPm6MWX+CwbrDPTFS0TA7i4/C+CMrfp7qnjY/m3Zir9eO7xvpic0b4rvevPmLP+OT39u37HUzuVLNfraHvK9NZtrifV6mrac8zZD4e9mKc15SwTSlkaBtTkSGAQUQkUuA6bauyjTNVfX3tDV2IgJ4zQh5ItU3q3UkXywTCzukYmE2Mc1pk3dUh0AuEGThprPrd5CwMWa+StCWipKMheh3p6Cw8s3u2YK/py3ItBVmYfpQ5fFNCYd8Pku+tD5zFrfuH+OLtz++7PaQdLZIb6ymc1QcrxGhCZf//G4KoR4SpSmGxD8Gyy1Bef0Gv53WSND2duBG4CwRuRXv0Pg/auuqTNPc4BirBkd+AMTCIS9oK+WXv/gUkyu5xCMhYmGH7c64d+cib9iVTFvGgjZjusWYf1h8kGkb0OnqkUsrkCt67yXzync1JdLnHfxzboh+kMm59ff+USy7TGWKHEvneGCZZqx5mbaxvTB0JoSbm023cyhJtG8TkplggJrXbSKoNp5lf6ur6s+AZwPPxDsl4XxVvafdCzPNqRxjpeWG9rSB10Ga0wiUcu1dXBsEmTYRYXdkyruz5g173D/eRlUrmTYL2ozpHhN+pm0oFaUvUiRFznsPWGEJLlssk4g68ysOJ/ygrZTnjGP/zvlygPHZ9VeRmJyrZrZ+8NDoktcGe9oAL9O2qcnO0UByGDLj9GtN0GbNCE1rpHv0t4GEqt4PvAT4kohc3PaVmaaU3Zo5bSsoj+Y04gV65fUV0BRKLrGw93/jXaFJ/07vU9y/3HmYp3/4uxyZypIrurj+e3jayqPGdI2cX65MRkMM439gU3fF2z2yhQWNCInBaqbtsR8SLs0RkxKzY0+s1tLXzJgf2IrA95YJ2mZyJe80BNf1GhE2ndPai/tBW69bs6vKmhGa1kj97L2qOiMizwKeB1wP/E17l2Wa5ariOOL9g2u4POqQ0ah3Y51l2/Ill1jYC05ry6NlV/mrH+zHVW8sSG1XqTUiGNM9iiWvWSASchiW2sCg8RKcqp7ciLDtadWxHw/eWH3ascdaXvNaG/dLyM88a5i7D01VKhD1pLNF79zRwqy3/yy1qbUXTw5DZoJUeaZ6nw3YbVojv9WDXZe/AfyNqv4rEG3fkkwrVGvOHl3Bnras6+9hWGf72vKlMjH/vMBt4ne/Fub49/uO8diY98YwkyvOm99m5VFjukex7KXQIyFhwJ2qPlCYWeQnTpb3A794NOQFFJEkbDkfTjwMpQI8dBOlzRcA4E4cXL3Fr5EJvzz68j07UYVb9p6oe53rKrOFEn2JCOT8ADje39qL+5m2ZKn2fxvLtDWrkd/qT4jI3wIvB24SkViDP2c6wJ23p63BoC3ikFU/aFtnHaT5YrU8uhkv06aFWf76lv30xry/UzpXWpBps6DNmG5RKHsBVzTs0Oc2l2nL+mcWVzJtkYR3OHo5D9e/EDJjOL/4ZgBC6cdXb/FrJCiP/o9zRuiLh7nj4GTd62byJVShLx6uBm2xvtZePDkExTl6cseZVf/sUtvT1rRGfqu/HG+47vNVdQoYAv60rasyTSsHZ482eCICQDTkMOf6G09bzLQdmsjwnD//AU9MrU3wl/e7RwE2uWMAFDMz3H8kzRW/tBvwMm21R9vYyA9jukchKI86Dj2lmmBkBUFbsC+uGrQl4YKXwjPfClOPQ2IQ57wXMcYAsdnDq7r+ejKFEhd/8DvcfP+xVXm+8dk8YUcYSEa4YHs/9z1Rf2pXcFh8XzwCeb9xYDUybUBq9jGeUL/Uat2jTWukezQDPAI8T0TeAmxW1W+3fWWmKa7rz9Rt8MB4gFgkRKYStLW2p+3Bo2kOjGd4+FjjpYlmlV2lUPYzbeUSg2Uv0+b63aPPPNt7g0hnS8z5n6QdgWkrjxrTNYpll0hIcBwhVRu05Rsf+1HJtAXHWEUSEI7Cr30Q/uQB70+sl9HQFnqz7W9EOJ7OMzFX4N7DqzMSdXzWO5tVRHjK9n72HpupBLu10lnvw21vbaat5aDNex8OlXMWtK2CRrpH/xj4ArDZ//N5EbE5bacoVSUkjR8YD14jwlzJD/BaDNqCLFY61/7AKHjTiYVDMHsMB5csMRw/9X7mSIqwI/6eNu/NaGtf3BoRjOkihZJLJOS918WLtZm2FQRtRS9oi9eWRwOOA9EkAJPR0xgqHm190cuYynjvUcfSq9MYNj6XZzjlzVq7YHs/hbLLw8dP/mAdZNp646u8p813RP3vrTzatEZ+q78B+AVVfZ+qvg+4BHhTe5dlmuXWNiKsYOTH7Cpl2qpB2+JngK6WYDJ5LOzAtPfp9zG2ES5liIaFTakYvfEwM7lqpm3bQMIaEYzpIl6mzQ/a8hOMa6/3wAqCtlyxpjxamINIqu51M/HtDJdPQLm972/Be9TxVQraxvxMG3hBG1C3RBq8b/clwpBb3fIowBPqHWtlmbbmNRK0CfPPGi3795lTUFkVx2GFIz9CzJaD7tHW3iSCGWgza5BpCzq+YhEH0l7Qts/djoPLGf0hHEfoS0RI54pk/EaEbQMJ29NmTBcplF2ifjNSJDfO47rFf2AljQh+92i9TFuNXM8OQriV95t2mfQzbasVtHmZNi9oO30oSW8szL11gra6mbaWGxFqgzbLtLWqkd/qnwFuF5GrReRq4DbgurauyjRNVb1jrFbYPToblEeLq5Rpy65Bpq1YUx7130QfLm8D4Iw+bwxAkGmbzVeDtmcWfkzp0R+1fX3GmPYrlJSon2kLZcd4XDf7D6y8PJpYJmgr9e3yvk4caH7BDZisZNpWZwSTt6fNK486jnD+9r76mbZs0IgQhtwUhP29fa1IDBDkeSboo+jELdPWgkYaEa4BrgAmgEngClX9y3YvzDTHVfw9bY1n2qIhh1l3dTJtU2uaaQv2oXjl0UIoyXEGATi91wva+uIR0llvTlvIETb3xnhX+Eu4/2n/FzamGxSDTJsqkhnjqA5TltDKGhGCoC3q+I0IybrXOUOnA5AZfbT1hS9h2s+0TWeLldJtszKFEplCuVIeBXjK9n4ePDZDsTy/GWEmFzQi+N2jrZZGwdumk/Delye1l2IoYZm2Fiz6W11EhoI/wAHg88DngIP+feYUVJnTtoKRH7GIQz6Yl9ziyI+13NOWm5dpO0w2vpVZ9T4h70jNz7TNFUokoyEGUxF6JIs7N1H3OfePzvB3P2zvG7IxZvV4jQgC+TRSLjApAxSc5MpGfhRqGxEylcaDhWLDuyirtP1UhMmafbetlkjH/Rltm1LVQ98v2N5PoXRyM8JMvkQ84nhBcG56dYI2qJRIp6WPghO34botWCoVcydwh/81+P6Omu/NKch1g/LoCkZ+hEPkNWhEaG2+2nQHMm1BI0IueRoZvDembUnvsd64v6ctXyYVDTOQiHoHSmdPHi5ZLLu85Yt38eGbHmRsiWNejDGnjkojwpw3p3EuPEjeSbRYHq0ftA32pjjKcNtPRQj2tAEcm24taAtOQ6jNtO3ZPUTIEf7pJ/MHBXtHWPm/C3JpiLe4ny3gB235SD8FidsxVi1YNGhT1TNU9Uz/a/B9cPvMtVykaVy1e3RlIz9yq51pW4PN/pVGhLADmXHKiSHm/InbW+Pem3BfPOLtaSuUSMZC9MVD9EiOUO7koO0ztz7GQ/58uccn7JOgMetBpRHBD9qy0QFysrKgrdI9WjunrY5NPTGO6RAyuzpDbxczlSlWTnRpdexHcO5osKeNh29meyTD711yOl+8/XEeOJKuXDuZKdCfCIK2Vc60RZJINElObE9bK5Yqjz5PRF5W5/5Xichz27ss0yxXlZCDfwhp4yM/8qzOyI90J0Z+REJQyuFEk2TwgraRaHVI5Gy+xEyuRE8szGDEW1+4MO112PqOTmf5+Hf28eSt3riAQxa0GbMuVOa0zXnnaeYiQ2Ql3tSetri43iHpiwRtQ6koY9pPODvW+sKXMJUtcK7/XjSaznPr/jEuu+Y/KkOAVyI4wmo4FfWCpS++Av7jI/zJZU+iPxHhA9+8H1VvO8n+0VnO3OSPO1nNoG3kXNj0JJLRkB+02ftrs5ZKxbwf+I86938f+EB7lmNa5dYeY9Vw92iIAmEUaal7VFXXtjxarMm0FXM40QRzftA2GPHeqHrj3qfV0XSOZDTEQMj71Cmo1x3lu+PAJNlimQ+9xDsU+uC4vakYsx4Uy67XPeoHbfnYEBkSKxv5USwTCzs4Jf/f/WLl0WSUcfqI5cdbXvdSJueK7BpKkoiEOJbO8c17jrB/dJaj0yvfvhLsaRvuicLscUBh3830J8L88aXncNujE9x/JE2uWOaxsbnKB1fy6dbHfQR+5d3w+ptJRMOM5kIcOj7Gj/e3N/DtVkv9Vk+q6omFd6rqMaD+5EHTca6y4pEfXru8oKFYS5m2bLFMsayIrNHIj1LNbKVSllA0ScYvj0bK3ptvn5/qP5bOkYqG6ZOaN72afW1BsLlrOMmWvpiVR41ZJxaWR0uJYUbzYQ4dP8GP9p30K6yuXKHsl0b994dFgraQI8yFBogXp7wPxi1Q1UUzZ1OZAgPJKFv74xxP57j9Ma9xqpkZk+OzeZLREMloGGb9/x6TB2BsH5f+nDfT7q5DU+wfncVVePJpfV6lZjUzbaEwROI8dUc/6XKUUn6WL9z++PI/Z06y1G/1uIiEF94pIhGgfu7YdJzr+t2jKzkRIeL938BtMWgL3lBO64v7AdzJZ9utpkp51FEoFwjHksz5jQjBp+y+eJhz5DAvzf8ryViYcKnm03edoK0/EWHXUJLHLdNmzLpQLKnXPZqbgkiSl/z8GYTjvWh+hht+eqih58gWy34TwtKZNoBcbBgHhUz9DvRG3fjfR3jGh797UlWiUHKZK5QZTEbY3Bvj/iNpHj3hvW81FbTNVU9DYG60+sC+m9kxmGBTT5S7H5/iwaPe3rZzt/Z6vwfKhdUL2nx/9tIL+fWLz2IwXOSBo+nlf8CcZKmg7avA34lIJavmf/8p/zFzCvL2tK2wPBoOgrb4qgRtO4a8N7yZNu9rq4z8wCt5hmNJckRxkZqgLcIHI5/hvZHP0x8pz9/nUvOmO5UpkIiEiIVD7BpKWabNmHXCm9MW8pqowjFe8rTt/PL5u+l1Cg3vAcsW3WrnKCy6pw2gnPAPPZ9rLIu3mLsPTTGTL/HY2PwybnDu6EAywtb++LzHVxq0qSp3H5pil/+ezKwftKU2w8M3IyJctHOAuw5NsvfYDLGww+7hVM0RVqtUHq0VTZEgz4HxucrQc9O4pX6rvwc4jjeX7U4RuRNvXtsJ/7Gm+fPfviMi+/yvg0tc2yciT4jIX7XymhtFtTy6spEfAOVQtKXu0Wl/ttCOQe8Nr9372iqZNvFeJxpPoTgUnep+ls3pe7nEeRCAoVB2fkfZgkxb0DW1ayjJsXSu5aGWxpj2ywdz2sp5CHvbI4j1kNQscw0GBdlCuTqjDZbMtNHjn5/ZYtAW7JtduH82GFA+kIyytc/7+zj+wZErDdp+emCSx8bm+M2n7fDuCNZ84cvh8f+C3DQX7Rzg0RNz/OTABOdu7fU+9FcOix9o4m+2jEiSiJtDVdl7zLJtK7XUyI+Sql4F7ARe5//ZpapXqWqrv42vAr6nqucA3/NvL+aD1G+IMAsEHUAOCuiKM21lJ1b9pNmE4A1l56D3htfufW2VRgT1As1IPMmfPu9cQvGeSnB22n2fqlw/JHOQrxkmma3NtBUZSHpB2+nD3voPT1q2zZhTXaURoVSAkF8GjPYQI08239iH0Fyx7J2sEgRtiwzXBYj0+mebthi0HfAzaAuz+pP+XLXBZJTNftC2Z7c3z346s7JfvTf89HF6YmF+/SlbvTtmj0NiCM79da9L9rEfcdFOL2dyz+Fpzt1S04QAq14eBSCaxNESUUrzxo2YxjRyjFVWVe/1/7Q2ebXqcuB6//vrgZfUu0hEfh7YAnx7lV63q5VdL2gLib+XrME9bXF/T1vJibWWactWM20xCujhO5t+rkbkSy6OQLjsrzmc4M2/cjbheI+XaRvbR/LRm7nLPRuAgQVBW3a6+qY7nS1WmhZ2+qUEK5Eac+qrHGNVykHY39Ma9Xb1aL6xDtJscWEjwuLl0figF7QV0qOLXrOcUtnl0GSQaZu/xuA0hIFkhK29UV7s/JhnnTlIMhpaUaYtnSty071HefFF27wmBPDKoz2bYfvPgxOGJ+7gwp39iJ/Je/Jpfjk06Kxfre7RWhHvf5utiXLL+9rGZvPcc3hq+Qu7SGOpmNW3RVWPAvhfNy+8QEQc4GPAny73ZCJypYjcISJ3nDjR2qef9cyP2Qjhf9Nw96gX3JUkuip72nYOJXlp6Ec85d9f2vJm3aXkS15JQ4I1R/zSSDTlBW0H/hNBua70AgD6ZK6SgctphOmJ6pvudLbIQE15FGzshzHrQWVOW7kAoSBo6wFAGxywm1tBI0LfwAgldchNHm16zUencxTL3vv0SeXRmj1tF+kDfDL6V7y4dy/9iciKgrZ/u+couaLLK/bsrN45dwJSI9575Zbz4Ymf0RePcPaI99+rMu6jUh5tT6YN4MLNkZYzbZ/+4aO88tO34Qa//DaAtgVtIvJdEbmvzp/LG3yKPwRuUtVl239U9dOqukdV94yMjLS28HXM1QWZtobntHnXFZ2Tg7aHjqUrGbzlpLNFRGBbf4ItMoHgVtrw2yFfcr3SbrDmsP/pOOqXRycPgBPhkZB3gEevzkJ+FhWHozp0UqYt2NO2qSdKMhqyTJsx60CxrH6mLV+TafOCEGlwiOvkXIG+eKShTNtIX4IJ+lrKtAXNBTsGE4vuaRtMRtke8oKn3aGxFQdt+0dnSUVDXLijJvCaHYUev7y77WI4cje4Lhft9PauVYO2NpZH/Uzb+ZvCPHRshlILUwbGZvPMFcocn2ltKPx6ctJIj4CIPFlVHxKRi+s8rMCEqi56AJuqXrbEcx8XkdNU9aiInAbU+3//LwK/LCJ/CPQAURGZ9ffZmTo0yLT5qe6VnIgAUJQYlKYr9x+ezPCCT/yID1x+Ab93yenLPs90tkhfPEJ/IsIQfhmyzhmfqyVXLHtNFJU32ppMW3bSC9oGdlFKD0AJetxZrzwa6yWd7SM1Vx2QWbunTUTYNZS0UxGMOcWpKoVyTaYtCNpiXtDmFGdR9c9jXsRsvsSR6Rxnbe6pTupfItM20htjXPsYnm0+aAtKos9+0ghfuP1xf0+d9349mSkQDTkkoyHI+O9R04fpS5y3oqAtUyiTiIbn/93nTnjlUYDtF8Odn4GJR3ntM3ezayhZPeqqkmlrT/cowLnDIfIlr3v2nGAv3QoFEwoeH89wWv/GmES2VCrmHf7Xj9X5cw3wDRH5XJOveyPwWv/71wL/uvACVf1dVd2lqruBdwL/aAHb0spBpg2/67HhRgTvzaIo87tHHz4+gyp8+/7GztkLslU98TCD4pclcu3bb5AvuV6W8KRMm18enToIg7srnxaT7gwUZpFoL8XYAOKvLV8qky2WGUhWD1TeNZTkwaMzlQ5VY8ypJygxRkPivQ9UGhG8wCBBrjKEezGPjHrvVbLXGXMAACAASURBVGeN9DRUHt3UE+OE9iMrrCKUXeW9X7+PR07M8thYhkQkxNP9BoPaD4hTc94HSBGpViqmD68405Yrlr3AL1Dwt4ek/GrUNj8fc+RnXLC9nz+69JyaH5729rwt1UXbLL88etaAF0zec3h6qauXFEwoOLiBPmAv1T36Jv/rryzy50K8JoFm/BnwXBHZBzzXv42I7BGRv2/yOTe8Snm0sqetsUxb1M+0FYjM6x59ZNT7NHjbo+MNje8IgraQIww7/ubaNmba8kW/PHpSps1vRJg8AIO76UnGSWuCRHnGz7T14CQGiRenK+uG6ukJAL+9ZydPTGX5v//2YNvWb4xpTTDAe7HyaIrlx37s94O2c7b0VN9LgtEhdQz3eEdZRVZ4lNUTk1k+d9tBPvm9fRwcn+P04WSlU722RDqZKTAYfIAMOlT9oC29okxbydunFwgyg0GmbeTJXlD2xM9O/uF82vuwu0SGsml+eXRHCjb3xvjWfY0lBeqpzbRtFEuVR39rqR9U1a+q6q8186KqOg5cWuf+O4A31rn/s8Bnm3mtjUT9D5SVoK3B8mjIESIhobAg0/bomPdmViwrP9o3xq8/5bQln2eqZl/YsDPjFdHbGbSVFpZHazJts8e9csng6fSORkiTorc0A+VZiPYQjW+id2qGsdl8pY1+oCZoe+55W3jDs87guv98jF84c3jZv7sxZu0V/CzaSeXRStCWZy5fZrhn8efYNzpLJCScPpT0Mm3hBDiLVykiIYe58CCJQp1gZwlp/4Pvt+49xkAywsW7Bjl92AtgajNFU9ki/f5WDTJ+pi19mP7NK8u0ZYuu1xEbCALAlB+0hcJw2lPhiTpd/rnp9nSOQiXTFipluPyiJ/GZWw8wMVdgKBVd5gdPFgzntUyb50X+nzcA1wG/6//5e+DV7V+aWalmGxHAO380z/xGhEdOzHHRzgH6ExG+++DxZZ+jdjP/IH55NNve8mg84kAp+HRcE7SVvQ4sBnfTFw8zrSmixXRlT1vPwGb6JMu+oxPzjrCqmHiUqy6Y4cxNKb5w+6JbN40xHRRk2iIhP9MWmr+nLSVZ5grLZdpmOGNTinDIn9O2RBNCIB8dIuZmq3vgGhAEGIWyy+hMntM3JRlMRuiNh+eN/ZjKFBgMgrZg3236CANxh7lC48cD5grlpTNt4JVIj90D5QXBYC7dniYEqJZcC97Q35Kr/Nu9zXXiVjNtjY126QZLlUevUNUr8PIl56nqS1X1pcD5a7Y6syJB0ObIykZ+AMQiIfJE5gVtj56Y40lbeviVc0e4Ze+JZbtI0zWzzvq0/Y0IXvdoCIp1Rn4EBnfTG48wrSkihSnvGKtYD0ObvMr+44ePMFUzF8lb8xRc/2Ii//JanrSll+Pp5mfXGWPap3BSeXT+nrYkOTI1QduJmTzXfHvvvO0e+0ZnOWezvxG+mJ3//rGIcnLlR1nN+gFGEJCdMZxCRDh9OLmgPFqslkeDTJtbYqszfzvHcjLF0oJMW52gbdcl3nv+vf88/4dz0+1pQoDqf99ihp87rZdzt/Ty9bueWPHTqKrtaVvE7mCmmu848KQ2rce0oFw5EWHlmbZY2CGnfqZNlelskbHZPGeO9PCrP7eFibkC9x9ZfMOo+j/Tn4hAIVM5D7T93aP1Mm01tZCB071MGymc/LS3ETfaS++Q98Z17PiR+Zk2VfjGH8P0IZg5yunJAqPpjdNObsx6EpRHoyHHO8YqVL88Grhl7yif/P5+Xn3dT5jOFMkVyxyayHD2Zv89o8FMG6kgaPOCqplckU9+bx/ff+j4ouedzuS995krfukMgErH5Ok1Zx27rjIx74D3MejfBcBmHSNEmXS6sY372UJ5ftBWOXe0ZizWk38Ddv0ifOsqmK4JnDJj7TnCCuZl2kSElzxtO3cenFzxvrR8yaVYVgaTEaYyxRUf8bVeNfJb/RYRuVlEXicirwVuAn7Q5nWZJgQjP8Ir3NMGftCGn2kqF3j0hFfePHNTqjK7Z+HBxrWyxTLFsnqBT83xUGvSPVrMAXLSNHTiA5AY4NnnjjA0vBnJTVcaESThHd0yNXa8etZfIgoPfgMe+Dqc/iwAzgkfI50r2TmkxpyCKt2jYf8Yq6CBwAnhhuOkJDsv0xb8Yr/viWlefd3tPHg0jat+EwJ4mbYGgrawf5SV+tmrz912kGu+8zCv/+wd/PJHf1AJJmsFmbZXPmMX33jLs7h4lxcUbR9McHQ6i6oylS1SdpXhVAzKJe+9dNtTAf5/9s47TJKrOvu/qs55pifHnZnNUdIGrVYJrTJCSBiTjLGEiTZgDBh/nzMOYH8m2Q+YjMnBBCGBAIMCCK2kXe2uNmhzmpzzdM73++NWdffszOzOzE5P2nqfZ57urqruutPh1nvfc857KEkP8AHzI1R/f0o3rXGIThYedRSDKS8NRDXBaz4PmaRcrIKMRgw3Q/mGaZ1nxtBJWzICyRgPXlsNwGNHZqa26TmCm2pkGPdqsWiaThur9wFfBK4BrgW+JIT4s0IPzMDMkase1ZW2mZA2E9GM9mNORmkekARtZbk720v0UiuhoZDMIfO7LOO7IMxHIUIqKidrvdJJJ23FDQDcuLKUnRuapMWHltOGU5bah0YHGNNMgT12M3QfkqXu938agPqMnEj6jRCpAQOLDuMLEfLCo4CwuKhX+lEHz2RXtLoB+OfevJVjXWN8+EdHAXJKWyI8LZsLW5EkbfGxfoQQ/PBAB9tXFPPuVzQxGIpnCUU+Ahpp89jNbK71Zf3Tytw2YskMwXiKwZCcZ0o9ttzit+paAIoSfdynvog92DYxB20SRC+2/Aj354oQ8uFvgls+BOeflGpbz1FZ1VYzmUXrHEBVZQXp7/4dPlZBdc9T3NDk57HDXdn+2dOBns+2sVqStqulg8204mdCiEeFEB8UQnwQGFAU5XMFHpeBWUBPOZtVeNSiEhVaMXEqTvNgCLMqTWYdVhPlHtslOwTo++r8zqwhZJ8oQsyL5Ucsl88GufCoRtoAqbqlYiDScr9Dkjaiw3SNRPHaLaiqIsfuLJETmWqhMtku/5eryHHbgIGlAj2nzaKK8W2sAOEq55WmA9z9zINwQDpJjUWTeGxm7t1UyUO7VnBhIIyqQGOpnmcVnRZpcxfLBuyRkR5ebBmmdSjCH1xfn82Nm8xmJBRPYTEpWTNzHetjh3m36XEGgnEGgxppc1tzHm3+JrB6KB54kZWqlqk0jXk1mrxYaRsYn8+Wj9X3yNu25+XCFXI+boXA3f8Mu94nK1TPP81rr6uleTDM0Rl4tuVIm8y9axu+OooRpnVVVxTlWkVR/l1RlFbgX4DTBR2VgVlB77+mziI8ajWpOaUtFeNCf5h6v1OuYJFms5dK9mzVqncaSlzZFWKrqEQUvHpUV9ryQhpZpS2vi4MWDgWk0qY9LiLE4faRXOVoZFiSNpMF/E0UR1oBQ2kzYGAxQq+ktKla+kKe0pb8gx/xUOL/klbMEJCK+ViencZfv3I9K8tcrCp3Zw3Gpxse9RcXERQOkqM9/PBABx6bmfs2V+G2ydfJz6PTEYwl8dgtE7ozrO/4AR82/5DBsRCDYRmxKHPbckUIrlLw1eJsz8tKukxP50xGEEtmsl0WSCdlyNNTOfkTKjbJhW3rHunb5qsDdwFbQu54B9zzMajdAZ0HuXdzJVazOqOCBL0IodJnp9RtvWq82qYkbYqirFEU5R8URTkF/BfQCSiase5n522EBqaNK7H8sFlUwiJH2poHQzSV5aqo6ksu3dapfSiC1axS6bVnJ5TWTCVKdCSXbDfHkOFRzVx3nNI2PjwKgCMvqdbqBpuHjMlOhTJC82A4VzkaHpSkDaB0Nc5AMwB9RjGCAQOLDnp41I4WLswzxbX7a9kjriFhcsm0CMbbEjmsJn7w7l3898M7ci+YjExLaSt12+gTxYQGOvjl8R4euLYah9WEyyajFZPZjIRiKdy2idaonuAFLEqaUO+FPKXNllPaXGXgq0UReXlykUsb+8a0Ti7Z8OjJn8rw6Kbfn/wJqgorboLW56TSVn3dJV9/zlC7HfpP4FXi3LW+gsePdk+7F6mutLltZur9zkvmXC8nXOqqfhppgPtqIcTNGlEzsrEXMfTwqGlW1aMmohk5ofSPjGl2H7l+cPV+J72B2JQJ+a1DUpmTIUZJ2tpEBYpIZyfMuYQQItcwPhkbr7SVroWNr4VVd+W25VdC2Twy/61iIxtV6cGWU9qG8kjbGtTRFhymq6shsQEDSwXZjgiKRpJMOaVNURRcVjMxNUfaArHUOD/GUrdNpnRkX3B61aNlHhs9ws9YfxsOi4l33NIEgNOqkbZJwqPBWErmzeYjlcAy1gKA6D/NYCiOWVXkGHXS5pRKG8BhoRk3XIa0RbQKVofVJBfNL3wWSlbnwqCToeFmqcaNtBYun+1i1O6Q+XPdh7ltbRlD4QQdI9HLP4+c0uaxm7mmrogjHaNXRcHYpa7qvw/0Ar9VFOUriqLcARSgp4WBuYKutCnMwqfNrBJOywnlh3vPoaoKf5jXJH5FiRMhoHOKH1TbUEQ6igNEhxE2L0GzFpIsQAVpIp1BCOkvR+qikIbVCa//OhTV5bblK216M+nqa9istgFiPGnTy/lL16BkUlzrGmPACI8aMLDokCVtQlfabOP2u2wmourkStvkLzi9nLZip5UBxU+1OsL/vGtXNidOV9ImDY/GJ1Hahs7LhS1gHj7HYCiO32XVFr+DgCKLpnw1ADxleYV83mVIm2474rCYZJ5azxHY9d5Ldnqg4ebc/ULms+WjZpu87TyQ7Q5xqdzpfASzhR0WHvSc5hWZF9nfcumw8XLApcx1HxVCvBFYBzwDfBCoUBTlC4qizKp9lYHCQs9pyyptM8hpK3JaaQvI5+8908Uf3bCCmqIcEarXCNlkIVIhBO3DkeyPjsgwiqOYIr/WmrYAxQh6E+hcIcJlVsf5SptVUxCrrsFNmDqlX07kmbQca57SBrDF0WcobQYMLELo84BVD4+aLiJtVjNhxTmOtHntU5A2IaattJlUhes2bqRCGWVteY7k6eHIqZW2i849INPD06i4ghcYCiVkaBSk0uYolvP4yjugaTf7nbfJfZcLjybzlLaXvikLr65506X/KT2vDaD62ksfO1dw+qFkFXQezPZhnS5pC+SFRzc3/zd/bfk+z56dvtnxUsV0LD/CQojvCiHuB2qBI8BfFXxkBmaMbHg02xFh+qTtA3eupq5cKmNeS5r33LYyt3Osk03PvJNSxib9QQ2E4kQSaRpKtclLCzFWVEjSlgzN/eonntRImyXP8uNSGFeIoFWXVkn/o01Kq8xpi44AIo+0rQJgranXKEQwYGARQvdps+nh0YuUNqfNRBiHbIDOZZS2sU7IpMBbPa1zNzatkiqZblpLntI2WU5bPDkxPDpwBhSV0+b1lERaGQzFpd0HSKVNV/1rtsJDj6G4Sogp9ssuhCP5SluoVy5AL0dGVRVW3QGVWwrXwmoy1O6AroOUuazYzGq2JVU4npqU/OoIxpK4bWZMqoIpNsoKpZ+9Z7snHHeofYS3fePAlKbHSw3Tj58BQohhIcSXhBC3F2pABmaPzBV0RKjw2vno66RU/Y4bqihx501+557A1vIUb7Q+N6kXjr6tPi88itNPXY2U9Ht6Z9dXLh/xVJqP/eIko5FE9jEwueXHZMifhGya0la+gYxiZpPaIidyffWqkza7D9wVrBRtRiGCAQOLEHohgnmK8KjTaiYkHBAPEkumSaQy2VZ7E9D7srzVFnOXhVfObwRzRMFpm1ppC+k5bekUHPuxrOgcOA3FDfQ611CZ7GAwGJd2HyD7jrrGV3D6HBZG8XK+tY2fXsKMNpqvtCXCuYXq5fDqz8BDP53esXOFmm0Q6kMNdFDnd2aFgfd97xB//I0DAEQSKd7y1fHhz1B+jmBsFJUMiYEL9IzlUnjC8RQf+J8j/OZ0P2f75j63eiEwI9JmYHFjAmmbQXgUwGKT4c1tNRfldPSdBOA15r2TKm06aWvIC4/i8LOqXuaUzQVpO941xlf2tGQbC48Lj15s+TEZVJP0BIKcj5vZRqx4DZuU1osSf0tyz1t1F1tGnuSGxN6rIsnVgIGlhGzDeKEp4XmFCAAuq4mAcEAsQCC/Xd1k6D0GyAKlacFTJW8DOdJmM5uwmBTCF6k6sk+mltPWugceeTu89A2ptJWtJ+RpwkkUNdwj7T5A9jXNn4u0sQ+knbR3dvD3jx2ftPMCXJTTlghPq5+q/AfcWePxeUPTbfL2xE+o9ztpH46SyQgOtI6wv2WYCwMhfv5yD8+dH+SJE73Zp40r7NCspVYpXew5N5g95t9/dTp7zeoenV6Bw2KHQdqWETI6V8sWIsywbkRfpaYuUpX6TgCwOtMsJ5mL0DYUxqQq1BRrxEnzOquukp5Aw0P9E54zU+hJp0c75I8zGx7VG8ZfTmmDXL5GXm9Se911bLd1sHtt2USlDeC+TzBctInPWP6LkfP7r/j/MGDAwNwhR9qmUNpsZsaEHeLB8T2GJ0PPy1C6evoER1faAuMXpS6beYLSFk9lSGWEzGnT55nnPwND56FsLYni1QCsyHTm+o7mh0c1rKv0EFR9rPbECcRSvHBBEpSO4cg4AqcrbU6rWSNt01TaFgKlq6HhFjjwNVYU2+gYjtA6FCakvYePvNTJ9/dLk/PTvTm1LBiX4VFSCUjKkOoWe39WjWseCPGtvW289jr5OXUZpM3AYkOujZW2yptBThuQywtL5pE2IaD/BKx9FRlUtgaentBqpG0oQk2RQxrxphKQCILTj2JxksBCaOTKk0P1H/ARjbTpPkQ2yzSVNpAVpBbXuAoqtfpaXKkRyhnJTab5E6XVyZnbv0oKE6aj37ni/8OAAQNzh/iE8Oj4xZvLamIsbYd0nEBI9lOeOjx6DCo3T//kzhJQLVnj3tw5zROqR/W2Vm67OZePNtYue36WrUMpWwtIpajUbZNFUZFhafeRh7ff3MiuzWuotUZx28z877FeTvUE2P3JZ/jmC63Z48YrbaHpE9GFwo53wFg7uzKHCMVT2YKCer+Tb+9r43D7KA6LaTxp0ws78twJNll76ByRytrZPvl5v/WmBpxWk0HaDCw+ZMOjysw7IgC5CS9faQt0QWwMVu6m17+DV/IcI5prt462oXC28ic7ITmKQVFIWn2kwsOc7g3M9N8ZB73Z8rn+EKF4Kk9pm8Rcdyo4iibmduj5K91Hcg7kjvHhgeKyatpFBWK084r+BwMGDMwtdKUtS9ouDo/azIykpfoWDsqLu89hgROPwZd35yIHkWFJoiq3TP/kqgreKgherLSZJiht+vzlsZlzJKNEqmuUrcVbUsWocOVIW2QYEBNy2hRFQXGWoESHuXN9Ob8+2cs//uwEqYzgufO5sGBEU9rsVnVm4dGFwrpXgaeKrX0/BuCXx3qxmlU+dNcagrEUVpPK229uZDAUZ0AzIM6GR/O67jSI7iw508OhNUUOaoocRnjUwOJDtveomLlPG5BH2vIqJbV8Nio2Mlh7J41qH4GBtnFP6xiJ5gwqLwox2j0llJgifOGZCzMby0XQlTYh4OXO0Wwhgt2E7Dk4HaXNXTFh5ZrNX+k7ISdKq3sCAazw2ukWfiyhiZVJBgwYWDgk0xnMqoKa1uasi33arGaGU3JbNJRH2tr3Suf/r94FF36j5bMxM6UNwFM9LqeNw9/lp2Nv4P2dH4Qj389uDuY1iyc2Jueruz8qm8GXraPMa+eCqKZJ6ZGkTSeCk7WdcpZAPMCrNpYyGknyYssw5R4bL7WNZLsJxDSlzWnKyPlxsZM2kwW2/TGlvXtoUHo40DbM+koP926qpNhp4b7NlexaKa8pZzS1TW8Llk+CK5Lt9I1FSGcEXaNR7BYVv8tKdZHDUNoMLD7kChFmGR41mUE1y3Cjjr7j8rZ8A6JsPQDxnlzr2UxGMBpJUOrS8zB00ibVKpPLzxpvisePdl9Rb7hQ3sr1aMdYNixiV7QV9nSUtjv/CV73tfHbbG4oboS+Y+O7IeSh2GmhjzIc0d4J+wwYMLBwSKQyMi0jran/FyltTpuJQEYu6OL5pC2iVWYW1cH33wxHviefMBOlDaQ9iE7aMml49uMETUWUJ7vgqY9kD9PnL7dNU4YcRbD2Xnj378Bip8xjo0uUUqUMUeqx5pG2qonn1ObWW2pNuG1m1lV6+Jv71hOKpzjVIwmNbvlhz2hz+WLOadOx7WGEauYtpqcQAjbV+LBbTPzyz2/hY7+3mbWVsupfj9oEYim8+eHmup1YMzFK00MMhuJ0jUSpKXKgKArVRQ66R5eHA4BB2pYRJjSMn6nSBlJty1fa+k+CtxYcRdgq18nzDJzN7g4nUmREXp7IsKao6X0/7UXU2GOYVIWv7Gme+Xg0hGIpXFYTDSVOjnSM5Eibbqo5DRdzfDVQvm7i9spNUmnL7zuaB0VRiDqrcKQDBWnJZcCAgdkhmRZYzWpuzpqQ02YmgJwb4mF5sffazVJV99XBHz0qf/Mv/48kSDNtkq6TNiHg9M9hpJVHSv+E35pvgVguJSTXcklThvLNvpHttLpFCVXKMH6HJUfavJORNi2KkRjlW2+/nq88tJ0bmuS2F1vkojmaTGM1qZhT2kJ5sSttAJ5KlPUP8Abzs9iJs7lG2jRV+Ry4bGZK3TZK3TZO9waJp6R9y7jwaN31AKxSu+gcidI1GqWmWH72tcUOhsMJIpP45y01GKRtGSEbHp2l5Qcgwwv5OW19J7IhRE9pDQHhwDx8Prtbd6XOuowPnJXSv69ePnYUY4mP8cpNVfziWE+WWM4UoXgKt93MtXVFUmnTczaYfLKeESo2wdAFGOuYlLQBqEWy9x9jU3sjGTBgYH6RSF+ktE3waTNJnzYgFRnDZTVhNqmaqu4Hdzm86Tty/qiaRRcAb7WMTMRGZX/P4kbOF9/KaMYut6clWRsXHtWVtjzYLSbGzGXYlSTm+KhWkarIlI6LoefcRobYWl9Mnd9Jpc/OihJntnIylkznPNpgaZA2gOvfiZcwD5peYFPNRIPf9VUezvQGx7WwyoZHNdK2Uumme1QjbVpXn+oieX1YDmqbQdqWEcQVmOtmYXbkqkdTCRg8myVtfpeNZlGNPZBTzHTvI69D88sZOC1LuPUKzaI6CHZzzyonw+EERztn14c0GE/hssnGwL2BWLaKyIY2WU+j9cyUqNgICPm/XlRir8NZJvuwJkbaZ38eAwYMzCkSqYzm1ajNWZMUIoSQc0MmFsjZfUSHcwu06uvg7U/CfR+f+QD08OWzn4TOA7DrvTjtNkbS2iIyrudf5ee0TVTaAKIOjaAFuqTS5iqTuV4XQx/3Ra2srm/wc6B1mExGEEmkch5tsDTCowD1u+i2NfEW09OsqfBM2L22wsPZviCjkVyz+KzSVrIKYS9mndLB+f4Qw+EEtZoNVU2RVNyWQzGCQdqWESYobbMibXlK25HvyLYudTsB6a7dSg2+cEv28Cxp05W2wbOgla8D8rkiw62OVlQFfntmdvYfoVgKj83MqzZXYTOrfGefLIaw6qTtSpU2HVMobf7qJgCGumYe4g1dohWLAQMGZo9kOoPFpMgFJlxSaRPxYC6NQzMAz6JqCxTVz3wAulfb3v+CxlvhurfgtJkYSumkTYZI9TnAZdMKESZpE+UplwtDAt2StE1WhABTk7ZGPyORJOf6Q0STGdkHNSFtL5aM0qYoWDe9mk1qK1aRmLB7XZWXeCrDsS5J1GSO4IjsJ22yoDTdyu3mI7zUKitpdYVNv10OxQgGaVtGSIuLctpmFR61y0kj0ANP/aM0PVxzT3Z3j6UOb6I/u4LMhkcdFoiHZIixNJ+0XQ+Kiqf/INfVF/Pb07Mz2tXDo+VeOw/f2JDriKA7oV+J0la0IrcSncINvKa+ibRQCPa1TLp/KhzvGmPzP/6a/35uZs8zYMDA5ZErRIgDiiykyoPbZiaoKW3Eg1JpS8UlmZligTYjlKySqtn2t8FbfgIWB26rmVFdaYvlSJvDYpJjjY5NCI8CfOj3b5N3dKVtqh6o+hwVHd/TeXOtJIJn+4JEEynsliUYHgVKV2xGIQPDExfIOxqKMakKn/2NTNHJhkf193P9A5QxSqZdGqHrCluF146qGEqbgUWGbPWouAKlbfVd0P4CfHYbJCLwqk+P66ww5NBWg0PyRzNOaRs6J/eVrcm9ns0jy+jb93L7unKOdY3RP4s+niG9BQzw7lubcFklIbVktNe6EqVNVaF8g7x/sSWIhpUVRfRRTGqkY0YvfWEghBDwLz8/ybf3tV3+CQamxI8OdvDGL+1d6GEYWERIpjO5QgSzfUIXGKfVTAwrGcWEKaGRtohGdpzFVz4AVwn8nxa4/z+yoUynLVf8oCttwVhSGutm0hAfmzQ8qrgrJOnUF81TKW1mm1SWIuNJW5VXktO+QIzohJy2JRIeBZleA7nrSR5WlLh4720raR6Q/1c2PKq/n6vvJomF3eJFgGyXHotJZatnFH/brws//gLDIG3LCBNz2mahtN31T/CGb8vJ6La/Gk/AgKBbhgkZlD8o3enb6zDLIgQYr7QB1N8InQfZvUquBJ85O/MQaSiewm2zQDxIyYXHeN/uVawud6Ok5kBpA1lBClOuvu0WE0OmckzBmXm19Y5JUnnjyhI+8tPjE4yJDUwf+1uGebFlmKFQ/PIHG7gqkEgLrRNLHMzWCftdNhOgkDK7MCe18KiuUM2F0gbjOqwAuG25kGx+TlvWow0mVdpQTTJHbqRFGn17plDaQKptoX44/kjWINjrMOOwmOgdixFNpC8Kjy4h0laySt4OateT774BXvgveT86wp8nvsL2cknOvRcrbXYvzd4d3KsewKRChceWfd5/pf+Zh7o+kgulL1EYpG0ZQe89qlxJeBRgwwPwgWNw64cn7Ep4V5BGzf6gPvNZvQAAIABJREFUAtE8/6HBM5Io+pvGP6n+BkhFWU8rpW5rtsJpJpBGimY49Tg8+i7+dNUIT3zwVtkNAa5MaYOcye4lJvKIowpPfGZebb2BGC6riYdvbCAjoHNk6cvzC4UhjfDq7WkMGEik0lJpS8fBZJuw32mV6nzC5MaaDuc82mBC55O5gtOaF5KN6Upbanw3hEmUNkCGRLsOyftTKW0g56njP4Yfvw0e/3NAWhNV+uz0BGJEEuklGx7F5pa5goPnIdgH534Nez4pIz97P4/p4Ff43PZe3nlLoyw0iI6MI8E91XdSpw5wq7tbVgpnMvDon1CZ7sVEBkaXdjGZQdqWEfScNkXo5rpz//H63C46qMiRtphs2ms2qXLF52+auOKt3yWH076XlWVuWgfDMzqnEIJwIi2JoR4SaHsORVFyRRNXqrStezVsfSjX1mqycXiqKUkPkkpNv7CgPxCnwmunyidJZe8sQsMGJAY1he18v+GVZ0AimRZY9Z7H5omkTSptEFYc2DORi8Kjc6S0XQS3zUxQjA+P6jm5WaVtkkIEQJK2kZbc/alQsVESm3X3y+4Og+chk+Z+yyEGR0PEkrrStgRJG8gQ6eBZ6NgnH0dH4KVvwP4vA1ARPMnfvmoDqqqMD48C8aZ7AbjTdkJuOP1zOPsrTpbcDUBqMGdZtRRhkLZlBD08alKuwFz3MvC7rJxLVyM0ST4QTUqzSpCkrWztxCd5KiSZa/kdDSUuWodmRtpiyQzpjMhVXgG0PidvdaXtSkmbpwIe+CxYpzbptZaswKYk6eqefg/S3kCMCq+dSp20jRlK22wxFJJK27l+Q2kzIJGtHk3HJyVtTquZezdW0h424yY6XmkrEGnLtxnJz2nz2Cw5e4rJwqOQq0aFSyttD3wWPnQSXvUpGd048l147tP8xcg/sXHkKSKJdK5ZvNkx+6jLQqF0jUzBaX9RRlHKN8KTfy+VSneFbEGmIzYqe13rT62oZkD4WKlqRW99JwCF1mv/EoCRzrMsZRikbRlBt/xQrqQQ4TIodlnpFKUIzWQ2EEvKPJFUQlb7TEbaADa9Ds4/xQ5rK4OhRNYhfDoIxuWxbnteeKF9H6RTOaXtSsOj04CvqhGAnrbp/+j7AjEqvDZKXTbMqkLPmKG0zQZCCAY0pe2cER41oCGRyitEmCQ8CvDx128hbXHjVjTSls1pK1R41EQcKxnVkqsejaXGz19ThkfzSdsllDa94MJTKYvHXvoGPPPvAFwbPzg+PLrUVDaAktWQCMp0mOqtsOs90n6qfhdseYPsFZtKyEV7KjaOBNcWO2gTFdQIravEcDP46qhZsZqwsBHunVjgsJRgkLZlhFz1qBYeLcDqyu+0MiCKUBNBSEYJRFMyGTTYAyKda191MW78M3CWsrv9M4CgbQZ9SEO6MWW+0pYIQe/RuVPapoGqelnVNF2vNiGEDI/67KiqQoXXni1MMHB5DIcTvOFLe+kajRKKp0hoNi+G0mZAR7YjwhSFCCCT1Tc21lJqiUuX/ciwTMyfRJmbC+hV7kmzG+JBUukMw5GERhgvp7RpRM1knT6pvO6PJBF1FNFRegs3K0eJxBO58OhSJG16BelYO9TvlIv+dffDnf8oSVw6Af0ncu9nHgku99hwVqymMp1H2vyNrKzw0C4qJrUSWUowSNsygn5RM+lV77OpHr0Mil0WBtDyMUL9mtJmvnxFlt0Lt/0VJYMHuEM9RMsl8tq+8XwLn306txoa12w5NpZzIW99bl6VNmf5SgBivWemdfxIJEkinaHSK8dW5bMbStsMcLo3wP6WYfa3DGVDo+urvAyG4kYVrgFAU9pMUxci6PD4iqlxpFhV7p5orDvHcGp5dHGTG+IBjnaOEktm2FpfPH2lzVM5wb5kSqy5B9Y/AK/9MsNNr8GvhNisNOfCo0upclRHaZ5rQd0NYLHDm74ri9pqtsrtXYdy72deeFRRFDZsvAZLuEcu6kdawN+E22amz1yFI2QUIswYiqL4FUV5UlGUc9rtpIY5iqLUK4ryhKIopxRFOakoSsP8jnRpIZKQCpvNVNictkGhkbbwgCRtdotMFIVxP54J2PZWMr56HjY9cclihG/ta+OLv7tAMi1JqK60ZRN5S1ZJ+bz1efmjnMSfqSCwexm0VOMdO5XNH7wUdFWtQiNtlT67UYgwA4Tj8vvcORzNFiHc0CQvtucHDLXNQL5P2+SFCFnYPFn7jWzf0QJBV9riJhfEAjx7dhBFgZtWlcj5S7VMHRnQlTbPJI3ip4LJAm/8Nqy8HdPq28kIhVeoL2s+baGlqbR5q8GijVvrKZpF0QpJursPTa1c+mUqC73H5OetPQ676vAnuqVf3hLFQiltfwU8LYRYDTytPZ4M3wI+IYRYD1wPzM5O/ypBJCHJjVUX2AoUHs2StlC/DI/mV2RdagVrsqBufh03mk4w0De531konqJlMEw4keZwu/xBBi9W2uw+aLgZ2p6XYdl5UNmy4ytez8p0y7TIV19gPGmTSlt0WoRvoZDJCD732/OLQsnSv8+dI1EGNaVtV5NUco28NgMgq0dleDR2GdLmhWRE5sFGhwtK2hwWE4oCUdUF8SB7zg2wpbaIIqc11yx+qkWmu0IutmdC2vJQVlHNy6KJV5iO5sx1lyJpUxQZIi1dO/GzUhSptnUdzokFFyuXxRppO/+0vNVsqDJFTVhIkdFyspciFoq0PQh8U7v/TeA1Fx+gKMoGwCyEeBJACBESQkw/EeoqhK5MWApYPVrktDKgkbZMsI9gTKse1X88l5sMN70WMxmqe56cdPeJrjF0TrPnnDThDY1rtqy5ie94h5yEjz8yL/lsOqy119Cg9HG8eeoffTSRJp0ReaTNBtFRdsZfIJ5MMRadfhHGfKN5MMQnfn2GX5+YmR9dIaCHxbtGc0rb5lofLquJs32G7YeBvEKEdGJCs/hxsGnNxxNBTWkrTOUoyPCcy2omorhIR8c40jHKrau1TitTNIvPwmSGVXdB4y2zOnep28az4hquVc7jJbx0SRvAKz8OD3xm8n3VW2HgFAxfkI8vjvDoXqEXxpM2R4U07h3qnF6Ky2LEQpG2CiFkaYd2Wz7JMWuAUUVRfqIoymFFUT6hKJMnaSmK8i5FUQ4qinJwYGB2DcmXA6JJWeZ9RQ3jLwOrWSVukxNeMtBLRmh9R6da8VyMik0MWOvYGvztpLuPdclCg8ZSF8+ek01/J+S02X2yg8GOd4LIzKvSVrpyO6oi6L9waNL9Qgju+c9n+cSvz2TVuHKPHY5+nztf/gv+0/J5eofH5m28M4VO/IcWg9Kmh0dHItmcthKXjVf4R4l3HlnIoRlYJBhfiHCZ8CjIEGlkpKA5bSD94cKKg0R4lIyAW1aXyR260nYp/OEP5aJ0FjCpCh22tZgUQWmsfenmtIEsQKi/YfJ9G18jW3795qPy8cXvqdMv1dWul+RjrUCupE66Gwx3GKRtAhRFeUpRlOOT/D04zZcwA7cAHwZ2AE3AWyc7UAjxZSHEdiHE9rKysjkZ/1JEOJ6SFUO65UeBvHk8Lidh1UMy0AeQy2mzeqas4MpCUWirupdt4gTBoYlq1fGuMSq9dh64ppqXO0cZjSSypM1lQU5CujHl7r+RvULncVKy1krz3WTn0Un394zFaB+O8OjhTnrHYpS6rVIJGGlFKCoPml6g5H//dN7GO1OEtZCkTpIWEvrn3j0aoz8Yw+ewYDWr/Hn6a7yj/2NkMos3zGyg8BBCyJw2kyKVtkst3nTSFhmWvT8LqLQBuKxmQjgR8QAuq4nr6jVScTmlbQ6Q8NQC4E30Lm2l7VKo2Aj3fUIrRFPAdpFZsaJIoiYy4K7Mvgd1jatJChOxvqVrsFsw0iaEuFMIsWmSv58CfYqiVAFot5PlqnUCh4UQzUKIFPAYsLVQ410OiCTSsnIpU7iOCCC92kbVYjJB+bF5HVqngksVIeQhtubVmBTB2OGfTdh3rGuMTTU+bl1TihDw/PkhQvEUFpOCLaXlMemrKkcRvPkHcM/H5uT/mha8NURMXtyjkxcjnOyWvkx9gThPn+6XKhvAaAcp/2q+nrqHku7fyNyaRQhd3RoOL3x/z7BG2hLpDKd7g5S65YKgSgzSKLo539W3kMMzsMBIZQRCoBUixC4THvXK29E2eVvAnDaQBrtDKRvWdJhbV5dKNRBykYICQi2uB8AT7V6+pA1g68Ow/e1Qtm5C/1cgFyLNa6tY4nHSrZSjjrbM0yDnHgsVHv0Z8LB2/2Hgp5MccwAoVhRFl85uB07Ow9iWLCKJFE6LOae0FcDyA8DvtDCED0L5StswOKdH2kqbriUgHCS7Xx63PRxP0TwYZlONl2tqi/DYzTx3fkAaU9rMKNly+bxJr3Y7NL1iTv6vaUFRCBStZ1WmZVKvuRPdARQFLCaFgWA82wmBsXZMxfWcEfXSRy+wOBNhI8nFEx4NJ3IVXse7xihxy/CXOzGAqghaTry4UEMzsAigV5dbLtHGKgudtPVoc06BSZvTauLMiIKZDO/alVdUMJ3w6BXCV1TCiHDjDrdLMrtUw6OXg6LA/Z+GP31+8v16BWkeaVMUhSFrjXxvligWirT9P+AuRVHOAXdpj1EUZbuiKF8FEEKkkaHRpxVFOQYowFcWaLxLAlmlrYC9R0EqbX0ZL6aIzDnL5rRNM0+kzu/ivKjBOjw+r+BkTwAhYHOND7NJZWt9MYfaRqfft2+eoFRuZp3SQXPf6IR9J7rHaCxxcdMqmXhc4dUuJKMdqEX1hByaD9MibVociS+e8Gg4nkLViuziqQxlbhskwqgJzWW+ZfK8QgNXB3RfylzD+EsobeXrZUXhc5+Wjwuc0+a2mQkiW+JdV67Nw0LkCqkKiCqfnS5RimNM87q0LVPSpmOqNCC9glQnbxoyZRuoTrbT1j9S4IEVBgtC2oQQQ0KIO4QQq7XbYW37QSHEO/KOe1IIsUUIsVkI8VYhxMJfSRYxIok0LqsZMoXNadtY7aMz4cYclUUfXrtlRuFRl81Ms1KHLzTemfpYpyRlm2skKdtaX8zZ/iA9Y1HcNsuiIW3O+muxK0nGOicKvyd7Amyo9nLvRtk3sMJrl8nPsVEoqiPlrZMH6mGaRQZd3RpaBOHRSCJFQ4kLEPgIUeK2QjBX1WobPL5wgzOw4EjoSpuqaIUIl8hpszrhocfApdW8FVpps5kJifH9R4kH5YK6wErb9gY/I5ZK7CNau73lGh69HEqkGXq+0gawessN2JQUT/xuz5RP3d8yzN89dmxR2jMZHRGWEcLxlPTmKbDStquphAFRhC0dxkZC64gwMqOJsM/WgDs1AuGh7LZ9zUPUFDko13zNbiiL4hYRDrWNjm9htcCkzd20EwBz14Fx28ciSTpHomys9nH3xkrKPTauqS2C0Q55gK8OU1EtadRFr7QNhxMLPmGF4ilK3TZe6zzKi7b3UmcNZUlbSrWxInme/qBhVny1IpmW30+7mgHE5YugihvgoZ/KqvOy9QUd253ry9m2doV8oJv6DmnK1yw92KaLbSuKuWXHNhSdLC7X8OjlUH8jPPBZWPeqcZt9jdsAaD3xIrHk5Ca7PznUyXf2tXN+EbbMM0jbMoJU2kzSv8zsKFiXgHWVHiJWSdDKlDHcVlUqSdNU2gCGndoqaOAUALFkmj3nBrljvbYSFoIdT/8BH7V8jUQ6s7jCo6WrGVGKKBl+adz2Ez1yfBuqvfhdVvb/7Z3sXlcOY53yAF8dlX4vfaKYzHDrPI96etBz2pJpQSC2sMUSkUQal83ERscwdiVJo2iXZspAuOYm1iidHG7J1TAdaB02KkqvIujhUbuifU8v0cYqi/J18KpPXp7gXSEevLaGh3dvkQ/0eevUz2We8crbC3puAIrqc/evVqVNVWHrQxNzHUtWkTHZaEg187Ojk5u8n+qVRHuPZju1mGCQtmUEmdNmlis7vcS9AFBVhdIKGears4YwJwKy+GEGeSIRnzQ5ZOA0AM+fHySaTHPn+gq5faQFNdDJ3aZD2EjkPNpgwUkbikKzczNN4fGFFHrl6MZq7/jjxzRVraiOzTU+OkQZsYHFWb2kK20KGSJnn13QsYTiKZw2MxU2aUZclerOKm3Oja/EpqRoPXUYgBfOD/L6L+7lqVNGRenVAr0QwaqTtgI1gJ818r3hAE7/HBpuKnhoFjBI26VgMqNUbGC7rZPv7JuYppLJCM5p5t3PnzdIm4ECQlaPmiAeKnjy6Yp6Kf3XWYLT74aQB1NRDSEc0C9J25Mn+3DbzOzUekvSLisDHcS4WT2GSydtiroo5P5B/zYqRT9CD30iSVuF10apVuVIWut8MNoh+w26K7mmrohOUZbNaYsm0qS0i08smebzz5znYOvwgoUm9Zy2V6gvU/Xoa2XvvgVCJJ7GbTVTZpH5dSXxDq1tmQPLSlkxPHjuAJmM4BfHpAJ3bhGGMwwUBrrSZlO039miI23a4i0egIGzMHgW1r16fs5tkLZLQqnczHq1nZc7RznSMb6grGMkQiSRxuewsK95KLs4WCwwSNsyQSYj5k1pA9iwZjUA1ZbQ9JrFX4Qyj4NzmRoy/afJZARPnernFWvLsJm14omOfWDzkjB7uEc9mNfCyjc/zeEvg0SNdOoOaGpUJJHid2cHuK5Oew8iw/DvjXD0BzDWAb4aUFUaSpwMmCqwx/pJJ+Pc85/P8k+Py4KGxw538fFfneF1X9zL73/hhSnzLQoJvd9nCVo+zALm3oXjKZw2EyVmSdp8kQ6ptHkqoWQVKZOD6thZ9rcO8+sTUmFrHggv2HgNzC/2Nct8WL9Vu6hOJzw6n7BrpC0WgNOPy/sX5VcVDEV1ufuLYJG76FC5BXtylCbrGN/eO15tO62FRt+8s35cD+zFAoO0LRPEUvIC77KatNYlhSVtTQ0NAFSZxvJI2/SVtlKPlbOZWsTAKY50jjIYinOXHhoFqbTVXU+s8Q7uNL2Ex8q8lMtPF+76awkKB/EL0iPoey+2MxRO8M5btUqljhdln8MDX5FKm09OooqioPobUBG8fOI47cMRfvxSJ8FYkp8c7qKp1MX7dq/iUPtodvKYT4Tjaco9NlxKVG4ILkwPUiEE4YT052vwyO+2I9SmkbYqUE0oNdu4wXSaf378JIOhOBaTQsugobRdDWgeCPHJJ85wx7pyNlVqVaMFzlObMXSyFA/CqcehZptcvM0H7L5cGomhtE1ExSYA/nhlkMdf7mYkz5fydE8QRYGHdzWgKvDcucXVGtMgbcsEes9Ip9Uk5fgCK22K2Ubc4mVHWVqqSjAzpc1t46yowRQZ5PhZaf1xi95UOToiCxTqbsB9ze/hV0I8UNyutYBZ4Hw2DfVlHg5lVmPrlhVIX/xdMzevKmXbCu096DyQu+09Ni5c4auSRRj7Dx/BpCpEk2k+/8wF9rcM89qtNbzmOjmxNw/MPwGJJtLUFjtwo5G20MLkiMWSGTICnFYz5oRGXodbpCmxR9qpmFbtZr3SRl9PB1azyn2bq2gZNJS25Q4hBP/nxy9jM5v419duRklrF9zFprSpJrl4PvU4dB+GLW+c3/Prc45B2iaiYiMA95YOkUhl+OgvTpHWipjO9AWo9zup9NnZUlvEc4ssr80gbcsEeljLaTXPS04bgM1XRZMjLLshwIxy2ko9Ns4L2SMv2n0Cv8uadbynQyM89TtRV98JJisrhvbMSwuY6aKmyMFBsRZf8Dw/fv4Eg6E4f3b7qtwBHfuhaIWsFktFs0obQE3DOgBazp/i7g0VrKv08IVnLgCy6mxFiROzqnBhAUhbOJGi2GnFb9YuhAuktOl9R902Uy6ROx2HkRbwVsvHTbsBuFE9wa2rS9lc42Mkkhy3ajaw/NA2FOFg2wjvv2O19EFMaZ/3pXzaFgo2D/SfkEav2946v+cu0ixHLAZpmwC7F0pWU9b3HO+/fRWPHOrkvd89RDyV5nRvkLUVUvR488567txQseD2R/kwSNsyQURLIHfpF7kCK22AdJruPaaFR5UZEaoyt41OIZW1xFA7TaV5E0vHPkl2arZJ8lm7A1oWF2mzW0z02aVi9vRzz7Oz0c/OJq0JdSYNXYdg9d2w+i65LS/HZM2aNaSESq3Sz/1bqnnzTrkivr7RT53ficWkUu93cqF//lUjPS+yREv+XyilbfwiJDC+wbemtFF9LcLm5Y0lzbztpkaayuR3qNlQ25Y1jnXJKvKdjdoiMaV59S228Cjk8tru/pf5L5TwN0mlbzG+L4sBO94O7S/wobXD/MP9G/jViV7e973DtA6GWVcpr59vcB7mPZ7nURZBHrUOg7QtE+gXOYfVrOW0zUPy6ao7YbhZhgDtvhl1YCjz2OgV2qQb7GZlWd54m5+Bqmtysn7jrdBzFALdi4a0AcSLJWkrjrTy53eszu3oPwXJsCSbWx+S20py+8t9bvrVUlaog+xeV8aD19bQUOLkbTc1ZI9pKnPTvAD5WeF4CpfVRLFJXgiDg5388df3Z0MH8wVdaXPphTVV1+Z26uakqgml8VZuVo9x48oSGkvld8gIkS5vHOsaw2pWWaOpIaS1BcZiC48C+FdKRXjd/fN/7ps/CA//bP7Pu1Sw9WFwlsKeT/K2mxv5+/s38OTJPjIC1lVpZPvg1+DAVxd2nBfBIG3LBHpOm9uckStPm/cyz5gDrL5b3jY/M2PvIbvFhGrzEFVduBODWZWEoQvQ9RJseDB3cOOtgJCKyyIibbaylSSFiZuKR9i1Mk8J6twvb+t2wNr74N17oO76cc/NFDWw0zuE02rG57DwzF/u5t5NOaf0leUuWgcj806Woom0HJNJXgiToz389szAvLe10pVj6c8XgLK10jAackobwMrdsjp3uJnaYgcONU3m/NPzOlYD84tjnWOsr/TInqOQFx5dhIrSG78Nf/ijhal4d/qhZuv8n3epwOqEXe+F809B92HefnMjf3b7KkyqwpZan+wV230Yqq9b6JGOg0Halgmy4VG0UMF8NAkuXgFl62ZsrKuj1GOjVxRTqQzTpCttx34MKLD5dbkDa7bnLtiLpHoUoK7ES7so51b/6Hj5vPOgDOcVN8rJumrLhEm7dvNtlIfPSkIyCVaWukmkM3SORAr5L4yDXrHptJrwKvJ75E2PoJCZ9wbyutLmtAipWtp9ucbP+W2AtLw2zj+FxaTyAfdTvOHU+6XaaWDZIZMRHO8aY3Nt3uJNV9oWY06bagKTZaFHYWAq7HiHnFue/SQAf3H3Wg79/V3UFjtl/mxsdNERX4O0LRPo4dFs1d985LRBTm2bQeWojjK3jY5UMVXKsFTahIBjP4QVN4GvNneg2Qordsn7i0hpe+P1ddir1lMay/P5EQLa98rQ6KVW1ytulGS340X5nJd/CCGttLzjAPftf4gPmn9MV8v8kY94SqvYtJlwIcmiWcngJ8hgaH6VtrBG2ryqvgjx5ho/u/OsYfxNULkZDn0LhODV4rdye6/RTH45om04QjCeYnNN3jyQ0BY2pkWotBlY3LB7YeefyG4V2kLP59BIdtcheWsobQYKAV1pc2gX23kzVFxzj7ydRWuWUo+VPlFMpTJCvd8ppeih87Dl9RMPbrhF3joWj9JW7rFTs2oLynAzpLVWOicelXl+l8thqbseVDO0PS/DwT95Jzz1Ebnv2Y/jGj7Bn5ke5Zon3giZ+XHk1omSy2rGLqLEhZy8ypXReSdtES3c7xLa99nmgfobZI5QvoqsKHK13Hcc9n2B6qQ0AxZ9J+d1vAbmB3oRwiadtMXGYM+nJJHXq4oNGJgJdv6JvF7u+dT47d2HZZ5k+YaFGdcUMEjbMkG2EEHMs9JWt1OGq4obZ/zUMreNXvyUKaNYFAEnfyrbPeXns+lYfbdsYaWXsS8WlK6GdEK2pUpG4cmPQMVmuPbNl36e1QXVW6H1eakSgVTbWp+Dc0+i3PxB/k19B67EYLblVaGhE3+n1YQ9HaZVSEWrXBldsPBolrTZvbDrffC+gxMP3vx6qcQ98XekVDvtmTJi3QvXfmu5IJMR2RZriwXHOkdzRQhCwGPvgZFWeP03wOJY6OEZWIpw+mH72+D4I3IBraP7sFTxF1l42yBtSxSxZHrchKoXItjSecrEfMBkgffsg1v+YsZPLXXLClITGQj1ywrRig2Th1orN8GHz0H9zjkY9ByidI28HTwHez8nm8Pf+6/Tq6RdcSN0H5KTRdNtMlz6P2+Wz932VkLF0gCSvhOFGv045EibGWs6TMQjiXiVOsbAfCtt+iIko1WC2jxSVVMnmbKsLrjmD0CkGaq/hyNiFeqAkdN2JchkBO/69kFe98W9Cz2UcTjWNcb6Ki8WkwptL8iw1p0fkb8lAwZmixvfL8WHr98nWw9m0vJ6tMhCo2CQtiWLN315Hx/9Re7CFE2mcVhMmHT3+PkibSBDlrOo3CrTChEAaefRfxLKN079BFfpLAdYQJRohrqte2DPp2VYtPHW6T234WbIpKRFy21/Axt/T4Z7NjwI3ipMlRvICIXvPf5LPvSDI3xnXxvDBTSODeveaBZQU1Guu267HKYtwGBwvpW2NFaTiiWlk7bL5DLufDe4K0lc9zbOZOqwhTpzprxLEH/32DE+/KOjC3b+L/zuAk+d6udIxyhD80zYp0IsmeZoxxjX6kUIbS/IW91Wx4CB2cJdBu/6nSx6e/Rd8Pj75by8yIoQwCBtSxKRRIqjnaMc7cw1sg3HU1oLK+1CtQSaBOtKGwC9L0sj14pLkLbFCKdfev3s+zxkktJEc7qo2ylDvqVrZY7bLR8Cd6UMAwJvuXU9Q7YaVok2nj03yN89dpx//eWlFaTz/SFe7pxdg2M9j8yrahdpVxnYfdRYAuzq/jr86K2zet2Z4FfHezjVEyCSkM3is9W19stY2JSshA+foWjtTZwRmpFx/+nCDraAONAywostQ9nH39/fTl8gNi/nPtg6zKeeOMPGavmNUfuiAAAgAElEQVSeH2gdmZfzXg77W4aJJtPctrZcbmjfK/ONZlEEZcDABLjL4KHHYMub4PB35DZDaTMwFzjTG0QI2c5Fh3Sy15rFw/wqbbPE5lof7jKtP975p+RtxeJK+pwWStfI0OYNf5qrcJwO7F7Y/Tdw90dl6K9iI3z4THZ1t67SS9nKrVzv6OHA397Bzkb/ZVtb/dsvT/GBHxyZ1b8RzlYg54XY3ZWsoI9Xjv0Azj01q9edCf7vI8f4jyfPEoqncOndEPSxTAMeu4UOs5b32L90ixF6AzF6RmOkM4K+QIy//skxvvdi+7yc+8cvdeK2mfnuO3Zit6jsbxmel/NeDr8904/NrHJDU4kMX3UekAsfAwbmCiYLvOYLcuFcsy2X/rKIYJC2JYiTPfJCNhxOEIglAam+yYvcAoRHZ4kKr50ffOB+WXzQ/Dtt46aFHdRsULNV5kPc8uGZP/fWv4Q1d0+9v2ITDDejJCM0lrroGL60b1v3WIz2ocisEsijek6bXsxidYOngi2xA7IgIBEsaMgxlkwzFk1yvGuMSDyttWTTSdv0zaLT3jpiin3JerVFE/J9SGUEA8E47dpn3jo0P50eDrQOs6PBT5HTytb6Yva3Dl3+SfOA357u58aVJTisJknI4wGo37XQwzKw3KCqcM/H4J2/mVGXn/mCQdqWIE715AxZ2zW1LZJIy8ksHgSLc1F+2SaFqkrCkwjKMKO7fKFHNHPc8RF474uXD+HNBhUbAQH9p6kvcTIYSmQrKydDXyBGKiPoHInO+FS60ubKKm1eGa4FMkLznCtgA3ndVqR7LEb7cES2sIoFZB/aGVQGVha5aDfVy0bdSxC9eWHQrtFo9jc+H+25hkJxLgyE2d4g0xaub/RzsjuQXRwuFFoGw7QORdi9Tg+N7pO39Tcs3KAMGFgAGKRtCeJUT5AipyxD1lff4Xie0rYEVLZx0P2Vllo+mw6ztXCmv/p70ndcetnBlGpbPJXOFiq0zEKV0XPa7Jm88KhH2n78PKNdHIM9M37d6WIgmEt4P9UbyH2f7d4ZtQGq9Nk5namDefZqE0Lwrb2tjFxhsUjPWI5wd41G6RjJkTYhCtvW7KU2mb+2o0HmiV3f6CcjctsXCr853Q/A7rV5pM1TBUX1CzgqAwbmHwZpW2LIZASnewLcuV5eTLv7BiCTljltVtP8NYufS3i1tkRLlbQVEkUr5OfZd4IVftmfNT+XMR/5pKd1FqqMrrTZMrrXnxvqbiDgXc2XUppZcGB+SJsQ5MKjM+yjW+WzczJRAZHBKduEFQIXBkL8w09P8NiRrit6nd6xnNLWPRrNhkeDsRRDBaweBjjYNoLVrGbbRF1XaePr1k9gffbfCnrey+GF87I/cZ22cKF9n1TZFqKnpwEDCwiDtC0xdIxECCfSbFtRTJ0b/nDf/XDwaznSthSVNs8SV9oKCVWVFXIvfYMNj97Jly2fouSl/4Tw4IRD86sLZ0Paook0dos63jZm/f28/Opf0Sq0Ju2FVNq08KjXbgaQ4dF4cMakrdJnpy1TJh+Mzk/yPkDLoCRXswlN50MPj9otKq/c/1aub/8qJlWSk9l8rjPBgdZhrqn1YTObIJPG8bN3sVs9zKaeR+atM8dkGAjFqSvWCNvAWQh0ynZ3BgxcZTBI2xKDns+2vsrLK7zduNIB6NivVY+aIR5aeqRtqYdHC427/hm2PYypfC2rTT3saPkC7P/KhMP6ApL02C0qja0/gLO/ntFpZLP4icUspR4rYRwkza6Ckrb+QBxFgVtX+fm05fOsTp2TStkMcwWrfHY6hU7a5qebBOQIVdeVkraxGF67mZV+G3Xh4zSGX2ZrfRFeQlT+6h0FUzujiTTHu8ay+Ww8+wk480vOuXfgy4whemZXlTwXGIsmcz0hTzwKKJdvFWfAwDKEQdqWGE72BFEVWFvhYYelVW4cOK1Vjy5RpW39/XDDe2T7JwMTsWIX3PcJeON3+PPSr9BnqoLBMxMO05W2bSuKefXIt+CFz87oNJF4XogdwKqRNrcNgLCtvOBKm99p5ebyOK81PcfO0f/VwqMz+z5Xeh10Cs2IeR6VNj2/tGv0ykhbz1iMKp+DzZ4QKhkq0z3sairhRtNpanufhvNPzsVwJ+Bo5yjJtMjms/HyD6FpN0d2fByAwPH/Lch5p4PxpO0nsgOCnlZhwMBVBIO0LTGc6wvSUOLCYTWxPiMv3GLwHNFEEofVLKswl1pOW3ED3PtvYDIv9EgWPer9Ti5QI9tmXYS+QByLSWF7jZMSRhEDMzOXDSfyvNHMjuznUey0oioQMJcUtHp0IBinzGNjs0eSxvrQ0VnntI3gIWlywsj8KW16rmHnyKVtWS6HvkCMSp+dtXaZ/F+jDNJUYmWrSwuJF8jK5GCr9GPbVu+X79vwBVhzDysbGzmaaSIzDz59kyGTEQR00tZ/CgZOy+4hBgxchTBI2xLDUDhBqUcqH7XhkySFCSUVpUYZXLpKm4Fpo97v5GSiAjF0XhqM5qEvEKPcY2eDU4Y3lfAAhKfvsZU1aL4oxG5SFfwuK0NKScELEco8NlbaZQpASeQCBPtmHB4tclqwmU2MWKvmOadNKm0jkQSx83tkNcUs0DMWo9Jrp9EsPzuzkmGlZYQN1j55QIFI24HWEdZUuPE5LdD8W7lx5e2sq/TwbGYLvsEjEJ28irR9KMJLbYUx4Q0lUmSE/Fw5/hPZRWT9AwU5lwEDix0GaVtiyK44QwM4I138JiPbbKxSuvJy2paY0mZg2lhR4uRcpholFYOxjnH7dIWm0Zp38ZyB2ja+mGX8d0i2HCuW4dEC2U4MBOOUuW3YI1LNUxCQis54EaIoClU+O31qxbictkxG8Adf3sevT8y9WhhPpekei9JU6uJW9WXs37kfOvbP+HWS6QyDoTiVPjtVDGS319HHCtENgCgAaUtnBIfaRnL5bBd+IwuEStfgtJo567kBlUzOBPsi/MdTZ3n7Nw8WxJJkLCI94rwOi2wQv+KmrBWNAQNXGwzStsQQjKXw2i3Q9RIAj6RvAWC10oXLlIZ03FDaljHq/S4uZLRcnoGz4/b1BWJUeG1U513sGZj+BV72r53c66/EbaUr7ZP9VSNzr6gIIRgISaWNQLcMzyqaQfQMw6MgK0g7RKlU2jQi0T4cYW/zEE+d7JvLoQPQMRxFCLhpVSkbFI0ozjA8DdAfjCOEHH9pqpeosALgi3VSluggJVSUUO8Vfwb//PhJvvF8S/bxmd4gwXhK5rNl0pKcrbw9Z6lRs50QTmiZnLR1jUQZjSSvuHJ2MoxFJWnzOSzy86zcMufnMGBgqcAgbUsMgWgSr8MsSZti4s7738QwPlYp3VQ7tHCZ1SBtyxX1JU7Oixr5YPBi0han3GPHFe0hg0IYOz976jc8+Lnneee3Dl62BVYkkZYh9kRoAlEq99hpjmnfq2D3nP0/OgKxFIlURiNtXdI0teoauXMWi5Aqn4PzyRKZE6eF9E73yrDx2f5L92+dDfTK0ZtWlbBa7ZQbh5tn/Dq9mrFupc+OJ9rDMdFIDCtK10vYk6PszWi9eWdBCPPx45c6+NbenAp5UAttbl/hh+4jEBuFlbuz+9fVFHMk3Ui648Ckr9cTkOM+1jV2ReOaDDppK7Jm5HfT6Z/zcxgwsFRgkLYlhHRGEIzrSttBKN/AG25cR/GKzTxYE2BntZbIbyhtyxZVXju1NTUMCw+Drcez20PxFKF4igqvHWWsk7C1jC5LA2uUTnwOC3vODfD//vfSF/pIIqWF2AMTilk21/g4Hda2zWExwrf3tvKGL+1lICgrX7NKm7c616JoFt0mqnx2TkW0Kkgtr+2MRtrO9wXnPIynV47uaPCzRtHMdWdF2qRtS5XPjiXUQRflDFqq4ZysGP1V5np5YP/suz2MRhIEYimaB8PZ7gsHWkeo9NqpLXbI0CgKNOVI2/oqD0fEKtT+k5AYT/4zGUGfNu7jBSRtfkWzonGWzPk5DBhYKlgQ0qYoil9RlCcVRTmn3RZPcdzHFUU5oSjKKUVRPqMoV7f9dTCWl9sxeA4q5KpbKV+HffQCim7VYOS0LVuoqsLX3rqDDlMtbWePZO0l+jW7j0qfDcY68FQ0smbTDtapXXzrbdfzzlua+MWxHk52B3ipbZhvvtA64bWzStsk4dHrG/30Ce1nOoe2H0+f7md/yzDPnJEh3Rxpq8mRtlmER7fWF9OW0W0/pKJ0pk8WOIQTabrzug7MBdqGInjtZvxOM6tUTYmcBWnTSVSly4QS6MZR1ogobpTdHYBW73aiigv6Z6+05XfUeP78EEIIDrQMs72hGEVRJGmr2gKuHDnaUOXjSGYVikiT6jo87vWGIwkSaWm8e7xrbM5NeLPhUWGQNgMGFkpp+yvgaSHEauBp7fE4KIpyI3ATsAXYBOwAXjGfg1xsCERlmyGfwyJzWpzaRal0LcTHYOi8fGwobcsa5R47jeu20iA6eeywVHV0F/0Kj10WKPhqoXy9vNiHB3nHLU147Wbe9/1DvPFL+/jIz07QlteftC8QI5JIU+G1T2rQvL7KS8SmGdbOYQXpuT650Pjei1INK3eZINQrlbY198Id/wCNt874da9v8tPF+K4Ip3uDlLqtWEiRfOKfJu0qMVu0DoVpLHWhjHXiIE5YcZEevMCbv7yXRGr6JKYvEMNmVvEl+0FkuPem66lbqZlOqxYqV6zlHLWIK1Da2rQwuarI9lDn+kP0BmJsX1EsCXvnfpnPlocKrw1z/Q4AvvCdH4xrXq+33Sp2Wnhbx98iHvuTWY9tMuikzZPRVDyDtBm4irFQpO1B4Jva/W8Cr5nkGAHYAStgAyzA3GcQLyEENKXNZ8lAMgxOTfkoWytv935e3ho5bcse3toNlChBXjwh89r6tW4I5R4rjHWBrw7K1smD+0/hc1h4161NNA+E2Vovvzd7zuVIy75maS+xs7Fk0upRk6pwbUMZI4pvzpS2UDyVVQqbNRJQrgRAZMBXA2Yb3PIXYHXO+LW9dgsNNdWEFReMtBFLpmkdDHPf5ip2qKdpOPkFaR8xR2gdCrOixJXNNdvDdZjSUc41X+BsX3Dar9MfjGshbq0yuKge/I3yvr+JLfWlnEhWk+k7Nesq3naNrO9eU8a2M5/iB48+gsdm5lVbqqH1OcikJpA2RVH4/LvuJeqqZWXiVHaxADnStntdOevFOcTZJ+ZUbRuLJjGrCvbEqNxgkDYDVzEWirRVCCF6+P/t3Xl8lOW58PHfNTNZyU4ggYQkEBKWRBQIqwKyKO7gWq17j+Lrq+2p9i212tPa5VSrXbTVarVS9VRbteqRuiEoq6CyKGsIYQ0hQMKSBbLP3O8f95MQIRuYZBhyfT+ffDJ55pln7tw+Dlfu5boA53vv408wxqwAFgJ7na95xphmt8KJyCwRWSUiq0pKSpo75YxQ3rC2w+VMg4Y5C3JTxkL2NVDkTFtE9PJD61SXis8EwLN3DSUVNY0jbYmuUrvDs2GkDWDuvfDn8dyzdRarBr3KP28eTFJMGEvzj/2/smLbQaJCPQxNCG1xB/Lo/j0p8sZQe3DHCc+15q9Ltzcmbm0q3wlmRqfFIfgI8xgia52/y6KSTuo9mjMuPZ5d3ni8h3extfgIPmOD0nGhzgL8vWu/8XuA3XVbeLiKAb2OBW3v1thUPP1lX2PpufY40LCDtiG/XEwKxDpBW3wG5/SLYYtJxl19CI6c2t+wuw5W0isyhEvTPdzom8uoPX/ne1Mz7Ptu+wSCwqHfmBNe53IJYWmjyfHsYE3BsXxte517b3pmDAlSiqv68LFR/1ZU13mpqfe2eV5ZVR0x4UFIlXMPadCmurFOC9pEZIGIbGjma0Y7Xz8QGAIkA0nAFBFpdp7EGPOcMSbHGJPTq9eZG7A0jLTF0LC2wwnaPCFwzQvww3yYtchWGFBntn6jqY1I4gnPU6xZ9j5vri4kJS6ciGpnk0BMCkT2geE32X/0Y9OQsFjiC97HtehXTMiIZ/m2g9Q7a5FWbD/I6P49cdc5017NrCMb3T+O1b5MXLu/gPqadjWzpKKGX72Xy/NLT1zf1TA1es+Ugfwx6CnmBP8OKXfWgzXUo/0Gxqf3ZKdJoG7vRjY7gdOgxEhGBztB2z4btO0rq+a9dV8fPTTGcO2zyxnz6wVc8uTSVhPH5u4txxi7WYOSPKpCerHWDABgYFBx467V9iipqCE+ItgGbeKywWucvRY9BzKkTxTrxQbsFKwA4Pkl2/n9/C0tXPFEuw5VkhoXzvgoO7o6yb2OW0cn2ie3fWLzoHlCmn9xcg69TQm7C3bg9dmRvv1l1bhdwnm9m6wT3P15m+2446VV3Pny6jbPK6uqs+t4G9KchDW7BFqpbqHTgjZjzDRjTHYzX+8A+0WkD4DzvbiZS1wJfGaMOWKMOQJ8AIztrPYGgoY1bZENC3LDjtv6HhYLfYd3cauUX4TFEHTHhxx2xTLhs7soLy7g4SuGHku4G51sc2zNeBpu+V+44VW4+S0YdSesmsOVUXn8yvsEpf+4k6LSKnYdrGRces9jGe+bKYV2VlI0K+QcPN5KKPisXc1cvMWO5q3dfeKuwi37KwjxuDgvvScTPJsY51tz7LodELTlpMXyGdmEHt3DgZ3rCfG4SOsZziCvLQFminOhvoY/fZLPPa/aEcsG2w8cZeXOwwyIj6C0spZ7X/2Sw0drm32fhjQX2UnRULIZ02sQRCZjxMPwHofZuWdvuzclNFSFoLTAJrf1BENMKuR8B7KvJtjjgj5nUyVhsHMZxRXVPP5RHs8t2UZ1XdujVmCrF6T0DCehzo7mhVFD8O5P7Xse3HrC1OjXJOUA8KDvOQq+slUT9pZV0zsyhB6Vx6ZM2d36/bHjwFGWbT3Aki0lbaaiaUwoXnnQ7iTWcneqG/PX9Ohc4Fbn8a3AO82cUwBMEhGPiARhNyF0Tv2WAHFsQW5D0KZ/cXZnEpPCW5m/JVxqmJ28gSmDE6C0IWjr1/yLJj8I4T0Z8+kdzHAvJ37rv/hqk/3fauyAuGNBU2L2CS8N9riQ/hOpw0NtXvuKli/cbP8e21de3bj2qcGW4iOk94rAfaSIGONMIa55yU7Phca06/qtCQ/2UJJo01bUbHyPjIQIPFUHianbz1e+dMRXD8W5LNtq1/Y1nfJbvcs+/uXMLP5ycw4HjtQw+811zaYK2bCnnPiIEHpHBENJHuF9s1j64IVIXBqDg/Zzz96HMC9Mb3MNWp3Xx+HKOuIjQux/x+hk+4TLBZf9we7oBIal9GKlLxPfjqXMWbaT2nof1XU+Pt/RdsLd6jov+8qrSY3rgRzYYvs6qAfkvQ/Ln7InZVzQ8gWSR1E+4m7GujaRNvcq2LuOfeVVJEaHNu7S3SL926wG8daawsa8ve98tafVc8uaBm06Naq6OX8FbY8CF4hIPnCB8zMikiMif3XO+RewDVgPrAXWGmP+7Y/Gni7Kq+twCYTUNeyi0iST3d3UCeeS78nkCtdye6CsEEKiW67XGRYDlz8J6VN5PPJHAGxf9gYx4UEMSYyC/Hl2WrWFrPN3TjuLL7yDKN/wQZttq/P6WJJfwuBEuz6uYPWHX8vxtXV/BZkJEcfWloX3hLpKO8rWQdl9fnDtFPaEZjCRNUwdnNC47vNVrx1NOrR1ZWMKjDW7jgVta3YdJjosiAHxEZyVHM2PLhrM/E37eXbxiSNmG4vKyE6KQsoKbPLXho1BcQPIqviUEeQiR4vhcOtrAQ8esSN5jQmGo5tf1zd5cC+W1w/BdSCPDz5bx7QhvQnxuBoD5JYYYxpHtVJ7htvkzPEZNonuujfgi7/AmP9jj7XE5SLy8ke4LuhPtsxY/jz2llXTJzoUSgvwioe5tTn22i1UbfD5DG+t2cOEjF6M7h/HW1/uaTVvXmmlBm1KNfBL0GaMOWiMmWqMyXC+H3KOrzLG3OE89hpj7jLGDDHGDDXG3O+Ptp5OyqvqiAwNwtWwIPf46VHV7QxLjiFj6m0EFa+zAcnWBdAzvfUXDb4Ubn6LiTNnscedxNlHljJ5UG9cvjrYthAyLmwxaBqeEsue+PHEH91KeXHrxdhX7zpMRXU9d5+fTpZ7N6OX3ApfPAfYnINFZdVkJETaoE1cMHG2fWEHTI02GNg7gqTRMxnOZu47Nx6KvsQgfBp8HlUSzoGtNsN/r8gQdm3Pg30bGts+IiUGV30VvHYz/7FrNq8mvMLz875gfpMyWNV1XvKLj9j1bA3VApJtagziBuAy9ez0OXUy96xpta0N07O9egTbXHWRfZo9b0JGL8ZPtUuDs+rW8/1pmYxL70nchr/B1o8b1yk2NWfZDib/dlHjaGJKz3BbBi1+EAy6BGorIC4dpv6szT4VEdJSB5AvaZjti9lXVk1iVBiUFlAd3peVPmfXcmHz1RM+23GQPaVVXD0iiavO6cPPSv+LonlPtPh+OtKm1DFaESGAlFfX2xJWVYfAE3pKqRDUGSjrKkDg71fD4Z1w4S/b9bIx6fEkjb2W8zy5/OaSFLuwvaYcMqe3+rrhU64FYPWC15p9flvJEeYs28ELy3YQ5BamDO7NLVFOwLJzKQD5TimpzIagLT4Tzr4e3CEtT+2eqsyLbRqRrR9D0RokPpMZYwazzpuCKVpLQlQIM8/py03Fv8X8/SrKjtaSX3yEkamxttZm7lykrJBxR+bzPz3+xH2vfs7LK3bi8xly95bj9Rmy+kbbxffBEdDbKTWVNBITHMEddT+gzhXaWC+4JQeO2KAtIbjK7uBtZQftxEkX4A3qwf2ZxWQnRXN1wn6+V/s8h975MSN+OZ//WbGz8dzDR2v5w/wt7DxYyc//bfO7pUb4oLwQemXC4Eug/yS46vl2f6aMTI1lYV0WFHyOr7bSJnUuLUBiU1hrBuATT7ObEeq9Pp5ckE9kiIfpWYlcHrmZSe51RK18stnNLT6foby6rkluSg3aVPemQZsfGWOa/au4JeVVdbaEVdVhXc+mjonqA2nn2ZGIiT+0j9tryOWIr57g7fMh/yNwB9t/wFuRkT2aQlcSg7a/CPVfX5z/1e5Srnz6U37x7ibmb9rPeQPjiQzxMNVnp29NwWfgrefLAptza1BCJOxdZ+uMhsXAjW/Y36Ej9R0OEYnwzj02cEsawc3jUtlk0kip286E9DjG9HEzRjYhR/aTt8GuxxqRGmsLp3tCYdYiZOYzZNVv5Jnol/npOxv4zksrWeHkt8tOirJBStLIYwvlh12H/HAblVEDKQjJgMJVrTazYaQtwdhrEtX8SBsA7iDcqeMYWPY51FRwQeHTAMRV5BFXs5tnF29v3N353NLtHKmt56axKVTWeokI8RBX5YySxmfaz5Jb50LyyHZ36eTBvVhhshBfLTmuLSRG25G20Pj++NxhlIT1tzVMj/PIB5v5fMchHr4ii9AgNz3WPE+9BBPpPczOJa+ccH5FTT3G0GSkTWcXVPemQZsf/fr9XKb+fnG76yAemyY4rFOj6usmzYZRd8CkH53c6/qOgKhkm8tt5QuQNqHtMmgiLEz7Pn3rC/GusMHClv0V/HnRVm766+fEhAez4P6JLPvRZJ65aSTsW0d8zW6WerOR2iPU7F7Dc0u2MTI1ln7BFbYAfUNx+AGTjiWT7SguF9z8Noy+E/qNhrOupU90GO6kEYRJLVfEFzGqfiVBYndfHs1dgNslnJ0cY0faUsZCUCicdQ2c/yATjs7ng0EfsCy/hMc+zCM2PIiksHrYv+FY6a0GQaEM6RPFl94BdkTRW9diM0uckbY4X0PQ1kauuuE328X/f8ohtGgF/wqzI6BPnrWLPaVVLMorpriimhc/3cnlw/ryiyuyuSbdx2UJB+0mBLDTo6dgYO9IUodPo9a4Ode1gb49gCP7ccWlMqBXD7aI8/s2+WxbuLmYF5bt4LbxaVw9MtmW4tu6AO+597GLvlR/+mxjoNmgITdlbHA91FfpSJvq9jRo85P8/RXM+XQnuw5WNiZGbUt5dcNI2yH9i1N9Xf+JcOnvTj4dgssFN71pF6AnjYDRs9r1sqhhlzLfOxIWP8aq9RuY/sQSHvswj0GJkbx211gG9o4kOSaMUJcPNr6NETc/r78FgNVL3mV/eQ2zpw9C9q23F2wI2jpLwlCY/t9w+/swcCoA4y+9mQpXJOP2/I3onR9xQGIplD4E7VrKkD6R9Kg9aAuzDzj/2HUmzYYxdzNk199ZMuwj4kN95KTFIUVr7BRsv9EnvPXItFgWHUmxU577N7bYxJKKGiJDPAQfdXLGtbCmrVHWTLj133b9Yfwgrrz/z5A8imFlC8mMrGH/e7/mnr8uxGsM35+Wgctbw+OVP+GRQ/fBhjdB3MdywJ2C7108nPWSybmuDSThJGqOSSUzIZKVNSm2hFpD3j3gH18UkBAVwkOXOkmfl/8R3MGEjL2DirNvZ7A3jyde+gdlVXUUV1SzYU9Z4475eJeTP1CDNtXNacIbP/n1+7n4nL9Cc/eW0yc6rM3XlFc5a9rKDh3boabUN9V7cLvXwTXISYvjhvqbuMB9H/sW/42o0Ol8dN9EW7sUbM6v125q3Bkq6VOZFj+JbSv6UJW/hEmZlzFmQE9Y7FTxSDyrI3+jdhnYry9Mvg8+/gW4gtgRdwlbio9ypedT7pmYCjuW2BObTheLwEWPgPHS94vn+DxmEdUjH4PdawE5tgmhielZibw6z9kcsmc19D2n2faUNFRDqNhrrxWZ2PYvkXYefHcN+OpxBwVD1pXIvAd5K3g2EUdKqPGV8L1bn2RArwhY/BhyeKcNfPLnQc+BNg/cKYrrEcyeQdPIynsKUzjPHoxJITMhgk/WJXF/CPa/f3QSFdV1LNpSwo1jUghyu+Dzv8Cal+0fCxG9ybr4Lio3Ps30HY8x6dFoSp3lbT+9zK4PjGtMKK5Bm+redKTNDxbmFbMwr4R7Jw8EIGr5b+Djtv/R1JE2dbpIigmjLiqVglyKDEMAABNbSURBVKB04ktWcOmwPjZgK90NX74Cz0+FQzvs+rTz7oMLfsEDFw/GNWACY915/PiiDKgqtWkm+o21SVP9YfQsGwj46si56Gauu+5Gwk0VF8fuhe2LbL6440cBReCSx+GWd3B7QujxxnXw2TN2A0Izv0d6rwhC4/tT7opudTOCrYYQYkenIhLAHdS+3yE4/FiKl6EzQFyEhQSzKXQ4twR9woS+Aod3wdLfwdCZdqrYE3aszNk3cNbMH+CKTMS9+BF7ICaFjIRIck0KBmkM2j/OLaa23sdlw/pA7r/hg9l21+qF/w2AhEYTfvVTZLt28Fj8+9x/QSbBbhd/dSppROPk8dNlIaqb05G2Lnb4aC0/+tc6BvaO4N4pAylc/R45BS9ASSxM+UmLqRbqvD4qa71EhXp0I4I6LYxMjeWDTYO5zT0PT3YcrH0N3namV+PS4bZ3TxgR7j9yOux8ncHbX7LrsSoP2ulZfwmJtP/fffYM0n8iQbVHAYEFD9up0f4TwOVu/rUDzoe7FsO8h2DVC5B9VYtvMz07keWfDuLC/Pm4vPXNTmMfOFJjc+WVF7W+CaE10clwx8e4Y9MYerQEnh4D8x60yW7FbaeIo5Phzo87JlAOi4Ur/gSvXAOuIIhIJDOhiipC2R+cwuEvl1KWOot31+2lT3Qow5Nj4C+P2AD3mjlf74chl8M5N3Hh2le50J3CrqET2bDhKzJFiPQ5QamOtKluToO2LmSM4Sf/u4HDlbXMuW0UId4qHvI+ixcX7qrDttRNCzm2KqptCav44Frw1etfnMrvclJj+WRDNnd53mOEyYVlv4eEbLjyWeidZdfLHW/wpZAxHRY4+cDG3N3569nakvMd+wW25mbaeXYnaEIWjL6r9dcGhcFlv7c1XlvZQHFRVh+eWnwuFx39ArYvbLbqQElFDRMzQqBw7zdaa0bSCPs9PA6GXgHrXoMevWw5s4YqCwlZp37942VcAGP/L5TkgctFSlw4PYLdrKhKZlxNLpc8/xkuEW4bn4Zr35dQvNFWeAhqZknIxY9C3VFY9Gt+K79BQrxUmWA85d9zficN2lT3ptOjXWj9njLeW7+X/5yaQXbfKPhgNj3ri3m4zqno1czUyZGaelbvOtS4ILeny+a30ulR5W85aXF84RtMvQThWvIolGyGsXfb9WnNBWxg/6H+9mu2KsPgy2xZrdPNLe/Ag0Uwa5EdaWuPpBGtjn5nJ0WRFzmOI65IWPuPE56vrvNSUV1vi8WX72l7E0J7TXvY7jK985NmN0l0mIsesbVtAbdLeO2ucYw7dwqJcoj/MzISj8tw1Ygku47NEwbZVzd/nZBIuPZFuGUujLqDp4O/Q5jU4ln1HCA2LYxS3ZgGbV1oxwG7A2p6VqLNDP/VK2wbcjeveqfg9YSdELTN37SfC36/mKufWcGyfLs7K1acoE1H2pSfZfWN4udX50C/MTb7fWiMk+i3DSIw8ja4/pWWy235k8vd/vVk7SQizBzVnzdrx+LLfReqy772fENi3cQwr32uo6pCxA2AGU9BTErHXK+dspOiSRw0BoAf7ZrF5uBbyfryF7D+Tci6su2p2QGTkEseI+2y2WyKmoDUlNuguKWpaqW6CQ3aulBRqU3tkVS1GT78MQy6hOCpD+HFzYHIoV9Lvrl82wHufHkVUaFBBLtdvLxiF2CIbtxFpUGb8i8R4VujUvAMtEXZGX6TVuloxW3j03jfdT4ubw1sfPtrzzUk1k1y26TDHVnKy2+SRkBSDiRkI9lXw6o5tlzWiFvafYlLh/Vh6DX/ZX/QqVGldE1bVyoqrSI6LIjwgsVgvDDjaZJDexAR4iHfk0nCvjdtKRdPCE8v3EqvyBDeufdc/vi3l5lS+Gd6Bx8mqO4BezHdiKBOF1lXwuZ3253jrbuKCQ/mrFGTyV2ZwsAlfyDo7G83ptxoCNp649QVPhOCtuAedsNDg/H32vq4xycgbkvKGJuH0NN2WiSlznQ60taFikqr6BsTZutDRiRAeBwulzC0TxTzK/qBtxb2b2Dt7lI+3XqQO87rT+jmt5ld9H0ypJAUVwk98161F9PpUXW66Jlu13/Fpvq7Jae9Oyam81vfDQSV7YTVf2s8XnCoEoCeXqcaQuQZELQdL/EsO8rWwg75Vn37dbjupY5vk1IBRoO2LrSntIqkmFAbtMWmNR6/+/x0Piq1RbJ9u1fx1MKtRIV6uHFkb5j/U3x9hjPNPMMOXwLBe511bzrSplTASYwOpc/Iy1juy8K78FGoLsMYwxurCsnqG0V0vVNZ4FRTfpypgsKa322qVDejQVsXKiqtspUPDu2A2GPpASYP7s3F40eyx/Rk27yn+XTTLm4/tz8RXz4P5XtwTf8VE7LSeINp9gUh0SdfrkgpdVq4d0omj/luwl19CJY8zsqdh8nbX8HNY1ORoi/t2q3gHv5uplLqNKRBWxc5UlNPeXU9yVFuu6W/yUgbwI8uGcwr8feRbnbzSdrf+c/Y5bDsD5B5MaSdx08uG8qF374f3MEQrqNsSgWqxOhQRow5n9e95+Nb8QzzFi0mMtTDzH6VtlrASSzUV0p1Lzpc00X2llYBMDDoIGBOSMQZ4nEz+7vfhc+DSfxgNrz7CcRn2gzm2Dp/cYMH2sXex6ULUEoFlrvPT+eGr25hev0XTN7+OGbU84R+/kfwhMLYe/zdPKXUaUqDti6yxwna+kmxPRDbQvb00bNs1vLoZEgcduKiXSeIU0oFrl6RIbz9wytY/1Ye5235DWN23gal22HUHRDRy9/NU0qdpjRo6yINOdp61xfZA8dNjzYSsaV+lFJntMjQIMZf/wCsTSVo1Ryo7AHjv+fvZimlTmMatHWRotIqXAJRVYUQFA4Rvf3dJKWUv7lcMPxG+2XMqaXDUEp1G7oRoYsUlVWRGBWKq3SXHWXTD2elVFP6maCUaoMGbV2kMbHucek+lFJKKaXaQ4O2LlJUWk3f6BMT6yqllFJKtYcGbV3A5zPsLasio0cl1FedkO5DKaWUUqotuhGhg20sKiN3bwXXJJeBzwt9hrEgdz91XsM4n1OCqme6fxuplFJKqYCjQVsHe/SDzSzLL+bSng8QVnuIylvn8/Dc/UyOr2Bk7mOQei70n+TvZiqllFIqwGjQ1oHKq+v4bPtBcmQLYUcLMeLm6MvXk3NkBo8mLEC8QXDV8+By+7upSimllAowuqbtZNVVw7+/D+teP+GpRXkl1HkNvxywkaMmhNtrfkBszR7+GPwU4dXFcOVzEJ3kh0YrpZRSKtDpSNvJ8oTAzqVwaDsMu+5rT320cR99ewiDDi5gV/IFDEq+il29xzIgPhzpN1pH2JRSSil1yjRoO1kiMHQGLHsCjh6EHj0BqKn3siivhAdStyIFZaRN/g4/HjgEGOLf9iqllFLqjKDTo6di6AwwXsh7r/HQ8m0HqampZkb5KxCVpJsNlFJKKdWhNGg7FYnDICYVNr0D2DxsTyzI54HwuUSWboZLfwduHcRUSimlVMfxS9AmIteKyEYR8YlITivnXSQieSKyVUQe6Mo2tqphinT7Ilg1h8IXbuSufQ9zu3kbzv42DLrY3y1USiml1BnGXyNtG4CrgCUtnSAibuBp4GJgKHCDiAztmua1bX+/i8BXD+/eR9ie5WQH70PSp8BFj/i7aUoppZQ6A/llDs8YkwsgIq2dNhrYaozZ7pz7T2AGsKnTG9iKqlovd7+ymsVbDnOZ3EshvSkIHcKLt48hJTnan01TSiml1BnsdF54lQTsbvJzITCmuRNFZBYwCyAlJaVTGxUW7CbY7eK7kzP41uipJMWEder7KaWUUkpBJwZtIrIASGzmqYeMMe+05xLNHDPNnWiMeQ54DiAnJ6fZczrSc7e0uAxPKaWUUqpTdFrQZoyZ9g0vUQj0a/JzMlD0Da+plFJKKRWQTueUHyuBDBHpLyLBwPXAXD+3SSmllFLKL/yV8uNKESkExgHvicg853hfEXkfwBhTD9wLzANygdeNMRv90V6llFJKKX/z1+7Rt4G3mzleBFzS5Of3gfe7sGlKKaWUUqel03l6VCmllFJKOTRoU0oppZQKABq0KaWUUkoFAA3alFJKKaUCgAZtSimllFIBQIM2pZRSSqkAoEGbUkoppVQA0KBNKaWUUioAaNCmlFJKKRUAxBjj7zZ0KBEpAXZ1wVvFAwe64H2Upf3dtbS/u5b2d9fRvu5a2t9tSzXG9GrPiWdc0NZVRGSVMSbH3+3oLrS/u5b2d9fS/u462tddS/u7Y+n0qFJKKaVUANCgTSmllFIqAGjQduqe83cDuhnt766l/d21tL+7jvZ119L+7kC6pk0ppZRSKgDoSJtSSimlVADQoO0kichFIpInIltF5AF/t+dMJCI7RWS9iHwlIqucY3EiMl9E8p3vsf5uZ6ASkTkiUiwiG5oca7Z/xfqjc7+vE5ER/mt5YGqhvx8WkT3OPf6ViFzS5LkfO/2dJyLT/dPqwCUi/URkoYjkishGEflP57je452glf7We7wTaNB2EkTEDTwNXAwMBW4QkaH+bdUZa7Ix5pwmW8UfAD42xmQAHzs/q1PzInDRccda6t+LgQznaxbwTBe18UzyIif2N8AfnHv8HGPM+wDO58n1QJbzmj87nzuq/eqBHxhjhgBjgXucftV7vHO01N+g93iH06Dt5IwGthpjthtjaoF/AjP83KbuYgbwkvP4JWCmH9sS0IwxS4BDxx1uqX9nAC8b6zMgRkT6dE1Lzwwt9HdLZgD/NMbUGGN2AFuxnzuqnYwxe40xa5zHFUAukITe452ilf5uid7j34AGbScnCdjd5OdCWr851akxwEcislpEZjnHEowxe8F+SAC9/da6M1NL/av3fOe515mOm9Nkul/7uwOJSBowHPgcvcc73XH9DXqPdzgN2k6ONHNMt992vHONMSOw0xb3iMhEfzeoG9N7vnM8A6QD5wB7gd85x7W/O4iIRABvAt83xpS3dmozx7TPT1Iz/a33eCfQoO3kFAL9mvycDBT5qS1nLGNMkfO9GHgbO3S+v2HKwvle7L8WnpFa6l+95zuBMWa/McZrjPEBz3Nsekj7uwOISBA2gHjFGPOWc1jv8U7SXH/rPd45NGg7OSuBDBHpLyLB2MWUc/3cpjOKiPQQkciGx8CFwAZsP9/qnHYr8I5/WnjGaql/5wK3ODvsxgJlDVNM6tQdt2bqSuw9Dra/rxeREBHpj10c/0VXty+QiYgALwC5xpjfN3lK7/FO0FJ/6z3eOTz+bkAgMcbUi8i9wDzADcwxxmz0c7PONAnA2/ZzAA/wqjHmQxFZCbwuIv8BFADX+rGNAU1E/gGcD8SLSCHwM+BRmu/f94FLsIuFK4Hbu7zBAa6F/j5fRM7BTgvtBO4CMMZsFJHXgU3YXXn3GGO8/mh3ADsXuBlYLyJfOcceRO/xztJSf9+g93jH04oISimllFIBQKdHlVJKKaUCgAZtSimllFIBQIM2pZRSSqkAoEGbUkoppVQA0KBNKaWUUioAaNCmlApIIpIsIu+ISL6IbBORJ0UkWERuE5GnToP2zWxSOBsR+YWITPNnm5RSgU2DNqVUwHESer4F/K8xJgPIBCKA/+6k9zuVnJYzgcagzRjzU2PMgo5rlVKqu9GgTSkViKYA1caYvwE4yTnvA74DhAP9RORDEckTkZ9BY7WN90RkrYhsEJFvOcdHishiEVktIvOalDpaJCK/FpHFwEMislNEXM5z4SKyW0SCROROEVnpXPdN57nxwBXA4yLylYiki8iLInKN8/qpIvKliKx3immHOMd3isjPRWSN89zgruxUpdTpTYM2pVQgygJWNz3gFKkuwFbSGA3ciC1Wfa2I5AAXAUXGmLONMdnAh07NxD8B1xhjRgJz+PpoXYwxZpIx5ufAWmCSc/xyYJ4xpg54yxgzyhhzNpAL/IcxZjm2XM8PjTHnGGO2NVxQREKBF4FvGWPOctp7d5P3PGCMGYEtuP3/vlk3KaXOJBq0KaUCkWDL47R0fL4x5qAxpgo7jXoesB6YJiK/EZEJxpgyYBCQDcx3SvD8BFvAusFrxz3+lvP4+ibPZYvIUhFZjw0Us9po+yBghzFmi/PzS8DEJs83FDhfDaS1cS2lVDeitUeVUoFoI3B10wMiEgX0A7ycGNAZY8wWERmJrTP5iIh8BLwNbDTGjGvhfY42eTzXeV0cMBL4xDn+IjDTGLNWRG7D1hltjbTxfI3z3Yt+RiulmtCRNqVUIPoYCBeRWwBExA38DhtAVQIXiEiciIRhNwR8KiJ9gUpjzN+B3wIjgDygl4iMc64TJCLNjpQZY44AXwBPAu82KXIdCex1plpvbPKSCue5420G0kRkoPPzzcDiU+gDpVQ3o0GbUirgGGMMcCV2vVo+sAWoBh50TlkG/A/wFfCmMWYVcBbwhTMN+hDwK2NMLXAN8BsRWeucP76Vt34NuImvT5v+F/A5MB8bkDX4J/BDZ8NBepO2VwO3A284U6o+4NmT7wWlVHcj9rNPKaWUUkqdznSkTSmllFIqAGjQppRSSikVADRoU0oppZQKABq0KaWUUkoFAA3alFJKKaUCgAZtSimllFIBQIM2pZRSSqkAoEGbUkoppVQA+P9ZXaGuJR79+wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(y_test, label='True')\n",
    "plt.plot(y_pred_test_nn, label='NN')\n",
    "plt.title(\"ANN's Prediction\")\n",
    "plt.xlabel('Observation')\n",
    "plt.ylabel('Adj Close Scaled')\n",
    "plt.legend()\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.plot(y_test, label='True')\n",
    "plt.plot(y_pred_test_lstm, label='LSTM')\n",
    "plt.title(\"LSTM's Prediction\")\n",
    "plt.xlabel('Observation')\n",
    "plt.ylabel('Adj Close scaled')\n",
    "plt.legend()\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
